Real operator algebras:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
River Edge, N.J.
World Scientific
©2003
|
| Schlagworte: | |
| Online-Zugang: | FAW01 FAW02 Volltext |
| Beschreibung: | Includes bibliographical references (pages 233-235) and indexes 1. Real Banach and Hilbert spaces. 1.1. Complexification of real Banach and Hilbert spaces. 1.2. Spectral decomposition theorem in real Hilbert spaces -- 2. Real Banach algebras. 2.1. Definition and complexification. 2.2. Divisible real Banach algebras. 2.3. The topological group of invertible elements and its principal component. 2.4. Radical. 2.5. Functional calculus. 2.6. Arens products. 2.7. Abelian real Banach algebras -- 3. Real Banach * algebras. 3.1. Some basic lemmas. 3.2. Abelian real Banach * algebras. 3.3. Positive linear functionals and GNS construction. 3.4. * Representations and topologically irreducible * representations. 3.5. * Radical. 3.6. Symmetric real Banach * algebras -- - 4. Fundamentals of real Von Neumann algebras. 4.1. Banach spaces of operators on a real Hilbert space. 4.2. Locally convex topologies in B(H). 4.3. Von Neumann's double commutation theorem. 4.4. Kaplansky's density theorem, tensor product commutation theorem, and comparison of projections. 4.5. Positive linear functionals. 4.6. [symbol]-finite real VN algebras -- 5. Fundamentals of real C*-algebras. 5.1. Definition and basic properties. 5.2. Positive functionals and equivalent definition of real C*-algebras. 5.3. Pure real states, their left kernels, and irreducible * representations. 5.4. Ideals, quotient algebras and extreme points. 5.5. The bidual of a real C*-algebra. 5.6. The uniqueness of * operation. 5.7. Finite-dimensional real C*-algebras. 5.8. The enveloping real C*-algebra of a hermitian real Banach * algebra. 5.9. * Representations of abelian real C*-algebras -- - 6. Real W*-algebras. 6.1. Definition and basic properties. 6.2. Normal linear functionals and singular linear functionals. 6.3. Abelian real W*-algebras. 6.4. Unitaries and partial isometries -- 7. Gelfand-Naimark conjecture in the real case. 7.1. Real C*-equivalent algebras. 7.2. The closed unit ball of a unital real C*-algebra. 7.3. Gelfand-Naimark conjecture in the real case -- 8. Classification of real W*-algebras. 8.1. Classification of real W*-algebras. 8.2. Finite real W*-algebras. 8.3. Properly infinite real W*-algebras. 8.4. Semi-finite real W*-algebras. 8.5. Purely infinite (type III) real W*-algebras. 8.6. Properties on other classes of real W*-algebras. 8.7. Real factors and tensor products -- 9. Real reduction theory. 9.1. Real measurable fields of Hilbert spaces. 9.2. Real measurable fields of operators. 9.3. Real measurable fields of VN algebras. 9.4. Real reduction theory -- - 10. (AF) real C*-algebras. 10.1. Standard matrix unit. 10.2. Technical lemmas. 10.3. Definition and basic properties The theory of operator algebras is generally considered over the field of complex numbers and in the complex Hilbert spaces. So it is a natural and interesting problem: How is the theory in the field of real numbers? Up to now, the theory of operator algebras over the field of real numbers has seemed not to be introduced systematically and sufficiently. The aim of this text is to set up the fundamentals of real operator algebras and to give a systematic discussion for real operator algebras. Since the treatment is from the beginning (real Banach and Hilbert spaces, real Banach algebras, real Banach 650_table.seel AddXMLRootTags.pl amazon-info.seel amazonls_marc.seel archivearchivein archivecontntdmin archivein archiveinarchive archiveinarchivehtmlfooter archiveinarchivehtmlheader archiveinarchivemonthlyreport archiveinarchive-service autoconfig balancereport balancereport.template balancetrack balancetrackfile balancetrackfile.template balancetrack.template base64 bash_logger.config bash_logger.config.template bash_logger.sh bridcrosswalk bridgetformat bridwatcher bridwatcher-idebk bridwrapgoogle bridwrapmarc bridwrapmarcxml bridwraponix bridwrapsoh bsdatainnotify BundleFiles.pl ccrypt cdf2marc-006.seel cdf2marc-007.seel cdf2marc-008.seel cdf2marc-leader.seel cdf2marc.seel CDF2Onix.bash checkMspEnvironment.groovy chgsvc chgsvchtmlfooter chgsvchtmlheader chgsvcmonthlyreport chgsvcout chgsvcout-service chgsvc-service cir_marc.seel cleanFiles.bash cleanlogs cleannotifylogs cleanupReports.bash codelist7.seel collectionbuilderout contntdmarchivein contributor.seel contributor_table.seel copystep countmarcrecs countrecords createaccount createReports.bash crosswalk crosswalkonix2cdf crosswalk_v1_0.wsdl curlUpload.pl dcg_marc.seel dc_marc.seel dcterms_marc.seel deapccrypt deapemailstylesheet deapfunctions deapfunctions.template deaphtmlfooter deaphtmlheader deaphtmlnavigation dharvestindata dharvestindatahtmlfooter dharvestindatahtmlheader dharvestindatamonthlyreport dharvestindataxwalk dir.properties dir.properties.template dos2unix dublincore_marc_all.seel eContent.bash eContentB.bash econtenthtmlfooter econtenthtmlheader econtentinprint econtentprint econtentprintmonthlyreport econtentprint.template edifactsweep eserials eSerials.bash eserialshtmlfooter eserialshtmlheader eserialsin eserialsmonthlyreport eSweep.bash esweep-service-startup filexaccountrequest-service filexlisting-service finddups formatweblog ftpVendorLabels.pl gem_marc.seel GenericXml.class GenericXml$_main_closure1.class getbridbase getbridbase.template geteserialsharvests getformat getorderid getorderid.template google_marc.seel handofforder hostwatcher hostwatcherhtmlfooter hostwatcherhtmlheader hostwatcher-shutn hostwatcher-start IG_35AcqOrderImportTestRequest.xml inotify inotify1 jms.properties jms.properties.template listaccounts log4j.properties logsplitter makeFiles.bash marc2cdf-006.seel marc2cdf-007.seel marc2cdf-008.seel marc2cdf-leader.seel marc2cdf.seel marc2Mods-abstract.seel marc2Mods-accessCondition.seel marc2Mods-classification.seel marc2Mods-extension.seel marc2Mods-genre-books.seel marc2Mods-genre-computerfiles.seel marc2Mods-genre-maps.seel marc2Mods-genre-music.seel marc2Mods-genre.seel marc2Mods-genre-serials.seel marc2Mods-genre-visualmaterials.seel marc2Mods-identifier.seel marc2Mods-language.seel marc2Mods-location.seel marc2Mods-name.seel marc2Mods-note.seel marc2Mods-originInfo.seel marc2Mods-physicalDescription.seel marc2Mods-recordInfo.seel marc2Mods-relatedItem.seel marc2Mods.seel marc2Mods-subject.seel marc2Mods-tableOfContents.seel marc2Mods-targetAudience.seel marc2Mods-titleInfo.seel marc2Mods-typeOfResource.seel marcchunker marc_dcsimple_loose.seel marc_dcsimple_oclc.seel marc_dcsimple.seel marc_dcterms_loose.seel marc_dcterms_oclc.seel marc_dcterms.seel marc_oclcadmin.seel marc_onixbook_Audience.seel marc_onixbook_Conference.seel marc_onixbook_Contributor.seel marc_onixbook_Description.seel marc_onixbook_Edition.seel marc_onixbook_Extent.seel marc_onixbook_Header.seel marc_onixbook_Language.seel marc_onixbook_Measure.seel marc_onixbook_OtherText.seel marc_onixbook_Prize.seel marc_onixbook_ProductContentType.seel marc_onixbook_ProductForm.seel marc_onixbook_ProductIdentifier.seel marc_onixbook_Publisher.seel marc_onixbook_RelatedProduct.seel marc_onixbook.seel marc_onixbook_Series.seel marc_onixbook_Subject.seel marc_onixbook_Title.seel MarcXml2MarcIso.bash MergeOnixDelimitedFiles.groovy mods2Marc-001-006.seel mods2Marc-007.seel mods2Marc-008.seel mods2Marc-01x-04x.seel mods2Marc-05x-08x.seel mods2Marc-1xx.seel mods2Marc-20x-24x.seel mods2Marc-2xx.seel mods2Marc-3xx.seel mods2Marc-5xx.seel mods2Marc-6xx.seel mods2Marc-7xx.seel mods2Marc-8xx.seel mods2Marc-genre-books.seel mods2Marc-genre-computerfiles.seel mods2Marc-genre-maps.seel mods2Marc-genre-music.seel mods2Marc-genre.seel mods2Marc-genre-serials.seel mods2Marc-genre-visualmaterials.seel mods2Marc-leader.seel mods2Marc.seel ncip_marc-acceptitem.seel ncip_marc.seel netreadonixonixdiffin netreadonixonixdiffin.template netreadonixonixdiffout netreadonixonixdiffout.template netreadonixonixmergein netreadonixonixmergein.template netreadonixonixmergeout netreadonixonixmergeout.template netreadonixtemplatefullin netreadonixtemplatefullin.template netreadonixtemplatefullout netreadonixtemplatefullout.template netreadonixtemplatemergein netreadonixtemplatemergein.template netreadonixtemplatemergeout netreadonixtemplatemergeout.template netreadtemplateonixdiffin netreadtemplateonixdiffin.template netreadtemplateonixdiffout netreadtemplateonixdiffout.template netreadtemplateonixfullin netreadtemplateonixfullin.template netreadtemplateonixfullout netreadtemplateonixfullout.template nextgen nextgenbacklist nextgenbacklistin nextgenbacklistin.template nextgenbalance nextgenfrontlistin nextgenfrontlistin.template nextgenfrontlistout nextgenfrontlistout.template nextgeninfrontlist nextgeninfrontlisthtmlfooter nextgeninfrontlisthtmlheader nextgeninfrontlistmonthlyreport nextgenout nextgenpostprocreport nextgenpostprocreport.template nextgen.template notify notifytemplate notify.template notifytemplate.template OAIPMH2Marc.bash oaipmh_marc.seel oaister oaister.template oclcterms_marc.seel oldbridwraponix Onix2CDF.bash onix2marc.seel onix4amazon.seel onixbook_marc_001_006.seel onixbook_marc_007.seel onixbook_marc_008.seel onixbook_marc_01x_04x.seel onixbook_marc_05x_08x.seel onixbook_marc_05x_09x.seel onixbook_marc_1xx.seel onixbook_marc_20x_24x.seel onixbook_marc_26x.seel onixbook_marc_2xx.seel onixbook_marc_3xx.seel onixbook_marc_4xx.seel onixbook_marc_5xx.seel onixbook_marc_650.seel onixbook_marc_6xx_1.seel onixbook_marc_6xx_2.seel onixbook_marc_6xx.seel onixbook_marc_7xx.seel onixbook_marc_887.seel onixbook_marc_8xx.seel onixbook_marc_9xx.seel onixbook_marc_extended.seel onixbook_marc_leader.seel onixbook_marc.seel onix_composition_template.xml onix_decomp_template.xml onix-long4amazon.seel ONIXOrderer-1.3-standalone.jar OnixSerials2Marc.seel pass2econtent productContentType_table.seel productForm_table.seel properties_qa queuewatcher quiet.properties regression.zip rsyncloginwatcher runErrLevel runErrLevel.template runRE runRE.template runVal runVal.template schemas selectrecs slog slxout sweepFiles.bash tcpserver tempfile testRmsFileXAccountRequest toplevelnotify transferredLabelFiles.lst updatelocalmvmactiveslist upload_eSerials.bash Utilities validationnotify vdatadev vdataqa vdatatst vSerials.bash wckbindata wckbinprovider wckbsweep wcp wcpFilesweep.groovy wcpinmatching wcpinmatchinghtmlfooter wcpinmatchinghtmlheader wcpinmatching-idebk wcpinmatchingmonthlyreport wcpinmatching-service wcpintool wcpintoolhtmlfooter wcpintoolhtmlheader wcpintoolmonthlyreport wcpintool-service wcplabels wcplabelsaging wcplabelsamples wcpmanifest wcpmanifestdg1 wcpmatching wmsacqpoimport wmsacqpoimportmonthlyreport wmscircreports wmsinacqpoimport wmsinacqpoimporthtmlfooter wmsinacqpoimporthtmlheader wmsinacqpoimportmonthlyreport wmsinacqpoimport-qa-service wmsinacqpoimport-service wmsinacqpoimporttestenqueue wmsindatabase-service wmsindetails-report wmsinhistory-report wmsinpatron wmsinpatronactivation-handler wmsinpatronhtmlfooter wmsinpatronhtmlheader wmsinpatronmonthlyreport wmsinsummary-report wmsreports wmstestinpatron wmstestinpatronactivation-handler wmstestinpatronactivation-report x12sweep xmlchunker xmlcleanup xmlcleanupnew xmlcleanuptest xmlcomposition XmlCompositionRequest.xsd xmlcompositionservice xmljoiner XmlToolsLib.jar algebras, real C*-algebras and W*-algebras), and some basic facts are given, one can get some results on real operator algebras easily. The text is also an introduction to real operator algebras, written in a self-contained manner. The reader needs just a general knowledge of Banach algebras and operator algebras |
| Beschreibung: | 1 Online-Ressource (xiii, 241 pages) |
| ISBN: | 1281935611 9781281935618 9789812383808 9789812795182 9812383808 9812795189 |
Internformat
MARC
| LEADER | 00000nmm a2200000zc 4500 | ||
|---|---|---|---|
| 001 | BV043119525 | ||
| 003 | DE-604 | ||
| 005 | 00000000000000.0 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 151126s2003 |||| o||u| ||||||eng d | ||
| 020 | |a 1281935611 |9 1-281-93561-1 | ||
| 020 | |a 9781281935618 |9 978-1-281-93561-8 | ||
| 020 | |a 9789812383808 |9 978-981-238-380-8 | ||
| 020 | |a 9789812795182 |c electronic bk. |9 978-981-279-518-2 | ||
| 020 | |a 9812383808 |9 981-238-380-8 | ||
| 020 | |a 9812795189 |c electronic bk. |9 981-279-518-9 | ||
| 035 | |a (OCoLC)825768141 | ||
| 035 | |a (DE-599)BVBBV043119525 | ||
| 040 | |a DE-604 |b ger |e aacr | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-1046 |a DE-1047 | ||
| 082 | 0 | |a 512/.55 |2 22 | |
| 100 | 1 | |a Li, Bingren |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Real operator algebras |c Bingren Li |
| 264 | 1 | |a River Edge, N.J. |b World Scientific |c ©2003 | |
| 300 | |a 1 Online-Ressource (xiii, 241 pages) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 500 | |a Includes bibliographical references (pages 233-235) and indexes | ||
| 500 | |a 1. Real Banach and Hilbert spaces. 1.1. Complexification of real Banach and Hilbert spaces. 1.2. Spectral decomposition theorem in real Hilbert spaces -- 2. Real Banach algebras. 2.1. Definition and complexification. 2.2. Divisible real Banach algebras. 2.3. The topological group of invertible elements and its principal component. 2.4. Radical. 2.5. Functional calculus. 2.6. Arens products. 2.7. Abelian real Banach algebras -- 3. Real Banach * algebras. 3.1. Some basic lemmas. 3.2. Abelian real Banach * algebras. 3.3. Positive linear functionals and GNS construction. 3.4. * Representations and topologically irreducible * representations. 3.5. * Radical. 3.6. Symmetric real Banach * algebras -- | ||
| 500 | |a - 4. Fundamentals of real Von Neumann algebras. 4.1. Banach spaces of operators on a real Hilbert space. 4.2. Locally convex topologies in B(H). 4.3. Von Neumann's double commutation theorem. 4.4. Kaplansky's density theorem, tensor product commutation theorem, and comparison of projections. 4.5. Positive linear functionals. 4.6. [symbol]-finite real VN algebras -- 5. Fundamentals of real C*-algebras. 5.1. Definition and basic properties. 5.2. Positive functionals and equivalent definition of real C*-algebras. 5.3. Pure real states, their left kernels, and irreducible * representations. 5.4. Ideals, quotient algebras and extreme points. 5.5. The bidual of a real C*-algebra. 5.6. The uniqueness of * operation. 5.7. Finite-dimensional real C*-algebras. 5.8. The enveloping real C*-algebra of a hermitian real Banach * algebra. 5.9. * Representations of abelian real C*-algebras -- | ||
| 500 | |a - 6. Real W*-algebras. 6.1. Definition and basic properties. 6.2. Normal linear functionals and singular linear functionals. 6.3. Abelian real W*-algebras. 6.4. Unitaries and partial isometries -- 7. Gelfand-Naimark conjecture in the real case. 7.1. Real C*-equivalent algebras. 7.2. The closed unit ball of a unital real C*-algebra. 7.3. Gelfand-Naimark conjecture in the real case -- 8. Classification of real W*-algebras. 8.1. Classification of real W*-algebras. 8.2. Finite real W*-algebras. 8.3. Properly infinite real W*-algebras. 8.4. Semi-finite real W*-algebras. 8.5. Purely infinite (type III) real W*-algebras. 8.6. Properties on other classes of real W*-algebras. 8.7. Real factors and tensor products -- 9. Real reduction theory. 9.1. Real measurable fields of Hilbert spaces. 9.2. Real measurable fields of operators. 9.3. Real measurable fields of VN algebras. 9.4. Real reduction theory -- | ||
| 500 | |a - 10. (AF) real C*-algebras. 10.1. Standard matrix unit. 10.2. Technical lemmas. 10.3. Definition and basic properties | ||
| 500 | |a The theory of operator algebras is generally considered over the field of complex numbers and in the complex Hilbert spaces. So it is a natural and interesting problem: How is the theory in the field of real numbers? Up to now, the theory of operator algebras over the field of real numbers has seemed not to be introduced systematically and sufficiently. The aim of this text is to set up the fundamentals of real operator algebras and to give a systematic discussion for real operator algebras. | ||
| 500 | |a Since the treatment is from the beginning (real Banach and Hilbert spaces, real Banach algebras, | ||
| 500 | |a real Banach 650_table.seel AddXMLRootTags.pl amazon-info.seel amazonls_marc.seel archivearchivein archivecontntdmin archivein archiveinarchive archiveinarchivehtmlfooter archiveinarchivehtmlheader archiveinarchivemonthlyreport archiveinarchive-service autoconfig balancereport balancereport.template balancetrack balancetrackfile balancetrackfile.template balancetrack.template base64 bash_logger.config bash_logger.config.template bash_logger.sh bridcrosswalk bridgetformat bridwatcher bridwatcher-idebk bridwrapgoogle bridwrapmarc bridwrapmarcxml bridwraponix bridwrapsoh bsdatainnotify BundleFiles.pl ccrypt cdf2marc-006.seel cdf2marc-007.seel cdf2marc-008.seel cdf2marc-leader.seel cdf2marc.seel CDF2Onix.bash checkMspEnvironment.groovy chgsvc chgsvchtmlfooter chgsvchtmlheader chgsvcmonthlyreport chgsvcout chgsvcout-service chgsvc-service cir_marc.seel cleanFiles.bash cleanlogs cleannotifylogs cleanupReports.bash codelist7.seel collectionbuilderout contntdmarchivein contributor.seel | ||
| 500 | |a contributor_table.seel copystep countmarcrecs countrecords createaccount createReports.bash crosswalk crosswalkonix2cdf crosswalk_v1_0.wsdl curlUpload.pl dcg_marc.seel dc_marc.seel dcterms_marc.seel deapccrypt deapemailstylesheet deapfunctions deapfunctions.template deaphtmlfooter deaphtmlheader deaphtmlnavigation dharvestindata dharvestindatahtmlfooter dharvestindatahtmlheader dharvestindatamonthlyreport dharvestindataxwalk dir.properties dir.properties.template dos2unix dublincore_marc_all.seel eContent.bash eContentB.bash econtenthtmlfooter econtenthtmlheader econtentinprint econtentprint econtentprintmonthlyreport econtentprint.template edifactsweep eserials eSerials.bash eserialshtmlfooter eserialshtmlheader eserialsin eserialsmonthlyreport eSweep.bash esweep-service-startup filexaccountrequest-service filexlisting-service finddups formatweblog ftpVendorLabels.pl gem_marc.seel GenericXml.class GenericXml$_main_closure1.class getbridbase getbridbase.template geteserialsharvests | ||
| 500 | |a getformat getorderid getorderid.template google_marc.seel handofforder hostwatcher hostwatcherhtmlfooter hostwatcherhtmlheader hostwatcher-shutn hostwatcher-start IG_35AcqOrderImportTestRequest.xml inotify inotify1 jms.properties jms.properties.template listaccounts log4j.properties logsplitter makeFiles.bash marc2cdf-006.seel marc2cdf-007.seel marc2cdf-008.seel marc2cdf-leader.seel marc2cdf.seel marc2Mods-abstract.seel marc2Mods-accessCondition.seel marc2Mods-classification.seel marc2Mods-extension.seel marc2Mods-genre-books.seel marc2Mods-genre-computerfiles.seel marc2Mods-genre-maps.seel marc2Mods-genre-music.seel marc2Mods-genre.seel marc2Mods-genre-serials.seel marc2Mods-genre-visualmaterials.seel marc2Mods-identifier.seel marc2Mods-language.seel marc2Mods-location.seel marc2Mods-name.seel marc2Mods-note.seel marc2Mods-originInfo.seel marc2Mods-physicalDescription.seel marc2Mods-recordInfo.seel marc2Mods-relatedItem.seel marc2Mods.seel marc2Mods-subject.seel | ||
| 500 | |a marc2Mods-tableOfContents.seel marc2Mods-targetAudience.seel marc2Mods-titleInfo.seel marc2Mods-typeOfResource.seel marcchunker marc_dcsimple_loose.seel marc_dcsimple_oclc.seel marc_dcsimple.seel marc_dcterms_loose.seel marc_dcterms_oclc.seel marc_dcterms.seel marc_oclcadmin.seel marc_onixbook_Audience.seel marc_onixbook_Conference.seel marc_onixbook_Contributor.seel marc_onixbook_Description.seel marc_onixbook_Edition.seel marc_onixbook_Extent.seel marc_onixbook_Header.seel marc_onixbook_Language.seel marc_onixbook_Measure.seel marc_onixbook_OtherText.seel marc_onixbook_Prize.seel marc_onixbook_ProductContentType.seel marc_onixbook_ProductForm.seel marc_onixbook_ProductIdentifier.seel marc_onixbook_Publisher.seel marc_onixbook_RelatedProduct.seel marc_onixbook.seel marc_onixbook_Series.seel marc_onixbook_Subject.seel marc_onixbook_Title.seel MarcXml2MarcIso.bash MergeOnixDelimitedFiles.groovy mods2Marc-001-006.seel mods2Marc-007.seel mods2Marc-008.seel mods2Marc-01x-04x.seel | ||
| 500 | |a mods2Marc-05x-08x.seel mods2Marc-1xx.seel mods2Marc-20x-24x.seel mods2Marc-2xx.seel mods2Marc-3xx.seel mods2Marc-5xx.seel mods2Marc-6xx.seel mods2Marc-7xx.seel mods2Marc-8xx.seel mods2Marc-genre-books.seel mods2Marc-genre-computerfiles.seel mods2Marc-genre-maps.seel mods2Marc-genre-music.seel mods2Marc-genre.seel mods2Marc-genre-serials.seel mods2Marc-genre-visualmaterials.seel mods2Marc-leader.seel mods2Marc.seel ncip_marc-acceptitem.seel ncip_marc.seel netreadonixonixdiffin netreadonixonixdiffin.template netreadonixonixdiffout netreadonixonixdiffout.template netreadonixonixmergein netreadonixonixmergein.template netreadonixonixmergeout netreadonixonixmergeout.template netreadonixtemplatefullin netreadonixtemplatefullin.template netreadonixtemplatefullout netreadonixtemplatefullout.template netreadonixtemplatemergein netreadonixtemplatemergein.template netreadonixtemplatemergeout netreadonixtemplatemergeout.template netreadtemplateonixdiffin netreadtemplateonixdiffin.template | ||
| 500 | |a netreadtemplateonixdiffout netreadtemplateonixdiffout.template netreadtemplateonixfullin netreadtemplateonixfullin.template netreadtemplateonixfullout netreadtemplateonixfullout.template nextgen nextgenbacklist nextgenbacklistin nextgenbacklistin.template nextgenbalance nextgenfrontlistin nextgenfrontlistin.template nextgenfrontlistout nextgenfrontlistout.template nextgeninfrontlist nextgeninfrontlisthtmlfooter nextgeninfrontlisthtmlheader nextgeninfrontlistmonthlyreport nextgenout nextgenpostprocreport nextgenpostprocreport.template nextgen.template notify notifytemplate notify.template notifytemplate.template OAIPMH2Marc.bash oaipmh_marc.seel oaister oaister.template oclcterms_marc.seel oldbridwraponix Onix2CDF.bash onix2marc.seel onix4amazon.seel onixbook_marc_001_006.seel onixbook_marc_007.seel onixbook_marc_008.seel onixbook_marc_01x_04x.seel onixbook_marc_05x_08x.seel onixbook_marc_05x_09x.seel onixbook_marc_1xx.seel onixbook_marc_20x_24x.seel onixbook_marc_26x.seel | ||
| 500 | |a onixbook_marc_2xx.seel onixbook_marc_3xx.seel onixbook_marc_4xx.seel onixbook_marc_5xx.seel onixbook_marc_650.seel onixbook_marc_6xx_1.seel onixbook_marc_6xx_2.seel onixbook_marc_6xx.seel onixbook_marc_7xx.seel onixbook_marc_887.seel onixbook_marc_8xx.seel onixbook_marc_9xx.seel onixbook_marc_extended.seel onixbook_marc_leader.seel onixbook_marc.seel onix_composition_template.xml onix_decomp_template.xml onix-long4amazon.seel ONIXOrderer-1.3-standalone.jar OnixSerials2Marc.seel pass2econtent productContentType_table.seel productForm_table.seel properties_qa queuewatcher quiet.properties regression.zip rsyncloginwatcher runErrLevel runErrLevel.template runRE runRE.template runVal runVal.template schemas selectrecs slog slxout sweepFiles.bash tcpserver tempfile testRmsFileXAccountRequest toplevelnotify transferredLabelFiles.lst updatelocalmvmactiveslist upload_eSerials.bash Utilities validationnotify vdatadev vdataqa vdatatst vSerials.bash wckbindata wckbinprovider wckbsweep wcp | ||
| 500 | |a wcpFilesweep.groovy wcpinmatching wcpinmatchinghtmlfooter wcpinmatchinghtmlheader wcpinmatching-idebk wcpinmatchingmonthlyreport wcpinmatching-service wcpintool wcpintoolhtmlfooter wcpintoolhtmlheader wcpintoolmonthlyreport wcpintool-service wcplabels wcplabelsaging wcplabelsamples wcpmanifest wcpmanifestdg1 wcpmatching wmsacqpoimport wmsacqpoimportmonthlyreport wmscircreports wmsinacqpoimport wmsinacqpoimporthtmlfooter wmsinacqpoimporthtmlheader wmsinacqpoimportmonthlyreport wmsinacqpoimport-qa-service wmsinacqpoimport-service wmsinacqpoimporttestenqueue wmsindatabase-service wmsindetails-report wmsinhistory-report wmsinpatron wmsinpatronactivation-handler wmsinpatronhtmlfooter wmsinpatronhtmlheader wmsinpatronmonthlyreport wmsinsummary-report wmsreports wmstestinpatron wmstestinpatronactivation-handler wmstestinpatronactivation-report x12sweep xmlchunker xmlcleanup xmlcleanupnew xmlcleanuptest xmlcomposition XmlCompositionRequest.xsd xmlcompositionservice xmljoiner XmlToolsLib.jar | ||
| 500 | |a algebras, real C*-algebras and W*-algebras), and some basic facts are given, one can get some results on real operator algebras easily. The text is also an introduction to real operator algebras, written in a self-contained manner. The reader needs just a general knowledge of Banach algebras and operator algebras | ||
| 650 | 4 | |a Algèbres normées | |
| 650 | 4 | |a Banach, Algèbres de | |
| 650 | 4 | |a Algèbres d'opérateurs | |
| 650 | 7 | |a MATHEMATICS / Algebra / Linear |2 bisacsh | |
| 650 | 7 | |a Banach algebras |2 fast | |
| 650 | 7 | |a Operator algebras |2 fast | |
| 650 | 7 | |a Operatoralgebra |2 swd | |
| 650 | 4 | |a Banach algebras | |
| 650 | 4 | |a Operator algebras | |
| 650 | 0 | 7 | |a Operatoralgebra |0 (DE-588)4129366-6 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Operatoralgebra |0 (DE-588)4129366-6 |D s |
| 689 | 0 | |8 1\p |5 DE-604 | |
| 700 | 1 | |a Li, Bingren |e Sonstige |4 oth | |
| 856 | 4 | 0 | |u http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=235622 |x Aggregator |3 Volltext |
| 912 | |a ZDB-4-EBA | ||
| 999 | |a oai:aleph.bib-bvb.de:BVB01-028543716 | ||
| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
| 966 | e | |u http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=235622 |l FAW01 |p ZDB-4-EBA |q FAW_PDA_EBA |x Aggregator |3 Volltext | |
| 966 | e | |u http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=235622 |l FAW02 |p ZDB-4-EBA |q FAW_PDA_EBA |x Aggregator |3 Volltext | |
Datensatz im Suchindex
| _version_ | 1804175547546206208 |
|---|---|
| any_adam_object | |
| author | Li, Bingren |
| author_facet | Li, Bingren |
| author_role | aut |
| author_sort | Li, Bingren |
| author_variant | b l bl |
| building | Verbundindex |
| bvnumber | BV043119525 |
| collection | ZDB-4-EBA |
| ctrlnum | (OCoLC)825768141 (DE-599)BVBBV043119525 |
| dewey-full | 512/.55 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.55 |
| dewey-search | 512/.55 |
| dewey-sort | 3512 255 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>13914nmm a2200733zc 4500</leader><controlfield tag="001">BV043119525</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">151126s2003 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">1281935611</subfield><subfield code="9">1-281-93561-1</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781281935618</subfield><subfield code="9">978-1-281-93561-8</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9789812383808</subfield><subfield code="9">978-981-238-380-8</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9789812795182</subfield><subfield code="c">electronic bk.</subfield><subfield code="9">978-981-279-518-2</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9812383808</subfield><subfield code="9">981-238-380-8</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9812795189</subfield><subfield code="c">electronic bk.</subfield><subfield code="9">981-279-518-9</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)825768141</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV043119525</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">aacr</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-1046</subfield><subfield code="a">DE-1047</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">512/.55</subfield><subfield code="2">22</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Li, Bingren</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Real operator algebras</subfield><subfield code="c">Bingren Li</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">River Edge, N.J.</subfield><subfield code="b">World Scientific</subfield><subfield code="c">©2003</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (xiii, 241 pages)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Includes bibliographical references (pages 233-235) and indexes</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">1. Real Banach and Hilbert spaces. 1.1. Complexification of real Banach and Hilbert spaces. 1.2. Spectral decomposition theorem in real Hilbert spaces -- 2. Real Banach algebras. 2.1. Definition and complexification. 2.2. Divisible real Banach algebras. 2.3. The topological group of invertible elements and its principal component. 2.4. Radical. 2.5. Functional calculus. 2.6. Arens products. 2.7. Abelian real Banach algebras -- 3. Real Banach * algebras. 3.1. Some basic lemmas. 3.2. Abelian real Banach * algebras. 3.3. Positive linear functionals and GNS construction. 3.4. * Representations and topologically irreducible * representations. 3.5. * Radical. 3.6. Symmetric real Banach * algebras -- </subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a"> - 4. Fundamentals of real Von Neumann algebras. 4.1. Banach spaces of operators on a real Hilbert space. 4.2. Locally convex topologies in B(H). 4.3. Von Neumann's double commutation theorem. 4.4. Kaplansky's density theorem, tensor product commutation theorem, and comparison of projections. 4.5. Positive linear functionals. 4.6. [symbol]-finite real VN algebras -- 5. Fundamentals of real C*-algebras. 5.1. Definition and basic properties. 5.2. Positive functionals and equivalent definition of real C*-algebras. 5.3. Pure real states, their left kernels, and irreducible * representations. 5.4. Ideals, quotient algebras and extreme points. 5.5. The bidual of a real C*-algebra. 5.6. The uniqueness of * operation. 5.7. Finite-dimensional real C*-algebras. 5.8. The enveloping real C*-algebra of a hermitian real Banach * algebra. 5.9. * Representations of abelian real C*-algebras -- </subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a"> - 6. Real W*-algebras. 6.1. Definition and basic properties. 6.2. Normal linear functionals and singular linear functionals. 6.3. Abelian real W*-algebras. 6.4. Unitaries and partial isometries -- 7. Gelfand-Naimark conjecture in the real case. 7.1. Real C*-equivalent algebras. 7.2. The closed unit ball of a unital real C*-algebra. 7.3. Gelfand-Naimark conjecture in the real case -- 8. Classification of real W*-algebras. 8.1. Classification of real W*-algebras. 8.2. Finite real W*-algebras. 8.3. Properly infinite real W*-algebras. 8.4. Semi-finite real W*-algebras. 8.5. Purely infinite (type III) real W*-algebras. 8.6. Properties on other classes of real W*-algebras. 8.7. Real factors and tensor products -- 9. Real reduction theory. 9.1. Real measurable fields of Hilbert spaces. 9.2. Real measurable fields of operators. 9.3. Real measurable fields of VN algebras. 9.4. Real reduction theory -- </subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a"> - 10. (AF) real C*-algebras. 10.1. Standard matrix unit. 10.2. Technical lemmas. 10.3. Definition and basic properties</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">The theory of operator algebras is generally considered over the field of complex numbers and in the complex Hilbert spaces. So it is a natural and interesting problem: How is the theory in the field of real numbers? Up to now, the theory of operator algebras over the field of real numbers has seemed not to be introduced systematically and sufficiently. The aim of this text is to set up the fundamentals of real operator algebras and to give a systematic discussion for real operator algebras. </subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Since the treatment is from the beginning (real Banach and Hilbert spaces, real Banach algebras, </subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">real Banach 650_table.seel AddXMLRootTags.pl amazon-info.seel amazonls_marc.seel archivearchivein archivecontntdmin archivein archiveinarchive archiveinarchivehtmlfooter archiveinarchivehtmlheader archiveinarchivemonthlyreport archiveinarchive-service autoconfig balancereport balancereport.template balancetrack balancetrackfile balancetrackfile.template balancetrack.template base64 bash_logger.config bash_logger.config.template bash_logger.sh bridcrosswalk bridgetformat bridwatcher bridwatcher-idebk bridwrapgoogle bridwrapmarc bridwrapmarcxml bridwraponix bridwrapsoh bsdatainnotify BundleFiles.pl ccrypt cdf2marc-006.seel cdf2marc-007.seel cdf2marc-008.seel cdf2marc-leader.seel cdf2marc.seel CDF2Onix.bash checkMspEnvironment.groovy chgsvc chgsvchtmlfooter chgsvchtmlheader chgsvcmonthlyreport chgsvcout chgsvcout-service chgsvc-service cir_marc.seel cleanFiles.bash cleanlogs cleannotifylogs cleanupReports.bash codelist7.seel collectionbuilderout contntdmarchivein contributor.seel </subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">contributor_table.seel copystep countmarcrecs countrecords createaccount createReports.bash crosswalk crosswalkonix2cdf crosswalk_v1_0.wsdl curlUpload.pl dcg_marc.seel dc_marc.seel dcterms_marc.seel deapccrypt deapemailstylesheet deapfunctions deapfunctions.template deaphtmlfooter deaphtmlheader deaphtmlnavigation dharvestindata dharvestindatahtmlfooter dharvestindatahtmlheader dharvestindatamonthlyreport dharvestindataxwalk dir.properties dir.properties.template dos2unix dublincore_marc_all.seel eContent.bash eContentB.bash econtenthtmlfooter econtenthtmlheader econtentinprint econtentprint econtentprintmonthlyreport econtentprint.template edifactsweep eserials eSerials.bash eserialshtmlfooter eserialshtmlheader eserialsin eserialsmonthlyreport eSweep.bash esweep-service-startup filexaccountrequest-service filexlisting-service finddups formatweblog ftpVendorLabels.pl gem_marc.seel GenericXml.class GenericXml$_main_closure1.class getbridbase getbridbase.template geteserialsharvests </subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">getformat getorderid getorderid.template google_marc.seel handofforder hostwatcher hostwatcherhtmlfooter hostwatcherhtmlheader hostwatcher-shutn hostwatcher-start IG_35AcqOrderImportTestRequest.xml inotify inotify1 jms.properties jms.properties.template listaccounts log4j.properties logsplitter makeFiles.bash marc2cdf-006.seel marc2cdf-007.seel marc2cdf-008.seel marc2cdf-leader.seel marc2cdf.seel marc2Mods-abstract.seel marc2Mods-accessCondition.seel marc2Mods-classification.seel marc2Mods-extension.seel marc2Mods-genre-books.seel marc2Mods-genre-computerfiles.seel marc2Mods-genre-maps.seel marc2Mods-genre-music.seel marc2Mods-genre.seel marc2Mods-genre-serials.seel marc2Mods-genre-visualmaterials.seel marc2Mods-identifier.seel marc2Mods-language.seel marc2Mods-location.seel marc2Mods-name.seel marc2Mods-note.seel marc2Mods-originInfo.seel marc2Mods-physicalDescription.seel marc2Mods-recordInfo.seel marc2Mods-relatedItem.seel marc2Mods.seel marc2Mods-subject.seel </subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">marc2Mods-tableOfContents.seel marc2Mods-targetAudience.seel marc2Mods-titleInfo.seel marc2Mods-typeOfResource.seel marcchunker marc_dcsimple_loose.seel marc_dcsimple_oclc.seel marc_dcsimple.seel marc_dcterms_loose.seel marc_dcterms_oclc.seel marc_dcterms.seel marc_oclcadmin.seel marc_onixbook_Audience.seel marc_onixbook_Conference.seel marc_onixbook_Contributor.seel marc_onixbook_Description.seel marc_onixbook_Edition.seel marc_onixbook_Extent.seel marc_onixbook_Header.seel marc_onixbook_Language.seel marc_onixbook_Measure.seel marc_onixbook_OtherText.seel marc_onixbook_Prize.seel marc_onixbook_ProductContentType.seel marc_onixbook_ProductForm.seel marc_onixbook_ProductIdentifier.seel marc_onixbook_Publisher.seel marc_onixbook_RelatedProduct.seel marc_onixbook.seel marc_onixbook_Series.seel marc_onixbook_Subject.seel marc_onixbook_Title.seel MarcXml2MarcIso.bash MergeOnixDelimitedFiles.groovy mods2Marc-001-006.seel mods2Marc-007.seel mods2Marc-008.seel mods2Marc-01x-04x.seel </subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">mods2Marc-05x-08x.seel mods2Marc-1xx.seel mods2Marc-20x-24x.seel mods2Marc-2xx.seel mods2Marc-3xx.seel mods2Marc-5xx.seel mods2Marc-6xx.seel mods2Marc-7xx.seel mods2Marc-8xx.seel mods2Marc-genre-books.seel mods2Marc-genre-computerfiles.seel mods2Marc-genre-maps.seel mods2Marc-genre-music.seel mods2Marc-genre.seel mods2Marc-genre-serials.seel mods2Marc-genre-visualmaterials.seel mods2Marc-leader.seel mods2Marc.seel ncip_marc-acceptitem.seel ncip_marc.seel netreadonixonixdiffin netreadonixonixdiffin.template netreadonixonixdiffout netreadonixonixdiffout.template netreadonixonixmergein netreadonixonixmergein.template netreadonixonixmergeout netreadonixonixmergeout.template netreadonixtemplatefullin netreadonixtemplatefullin.template netreadonixtemplatefullout netreadonixtemplatefullout.template netreadonixtemplatemergein netreadonixtemplatemergein.template netreadonixtemplatemergeout netreadonixtemplatemergeout.template netreadtemplateonixdiffin netreadtemplateonixdiffin.template </subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">netreadtemplateonixdiffout netreadtemplateonixdiffout.template netreadtemplateonixfullin netreadtemplateonixfullin.template netreadtemplateonixfullout netreadtemplateonixfullout.template nextgen nextgenbacklist nextgenbacklistin nextgenbacklistin.template nextgenbalance nextgenfrontlistin nextgenfrontlistin.template nextgenfrontlistout nextgenfrontlistout.template nextgeninfrontlist nextgeninfrontlisthtmlfooter nextgeninfrontlisthtmlheader nextgeninfrontlistmonthlyreport nextgenout nextgenpostprocreport nextgenpostprocreport.template nextgen.template notify notifytemplate notify.template notifytemplate.template OAIPMH2Marc.bash oaipmh_marc.seel oaister oaister.template oclcterms_marc.seel oldbridwraponix Onix2CDF.bash onix2marc.seel onix4amazon.seel onixbook_marc_001_006.seel onixbook_marc_007.seel onixbook_marc_008.seel onixbook_marc_01x_04x.seel onixbook_marc_05x_08x.seel onixbook_marc_05x_09x.seel onixbook_marc_1xx.seel onixbook_marc_20x_24x.seel onixbook_marc_26x.seel </subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">onixbook_marc_2xx.seel onixbook_marc_3xx.seel onixbook_marc_4xx.seel onixbook_marc_5xx.seel onixbook_marc_650.seel onixbook_marc_6xx_1.seel onixbook_marc_6xx_2.seel onixbook_marc_6xx.seel onixbook_marc_7xx.seel onixbook_marc_887.seel onixbook_marc_8xx.seel onixbook_marc_9xx.seel onixbook_marc_extended.seel onixbook_marc_leader.seel onixbook_marc.seel onix_composition_template.xml onix_decomp_template.xml onix-long4amazon.seel ONIXOrderer-1.3-standalone.jar OnixSerials2Marc.seel pass2econtent productContentType_table.seel productForm_table.seel properties_qa queuewatcher quiet.properties regression.zip rsyncloginwatcher runErrLevel runErrLevel.template runRE runRE.template runVal runVal.template schemas selectrecs slog slxout sweepFiles.bash tcpserver tempfile testRmsFileXAccountRequest toplevelnotify transferredLabelFiles.lst updatelocalmvmactiveslist upload_eSerials.bash Utilities validationnotify vdatadev vdataqa vdatatst vSerials.bash wckbindata wckbinprovider wckbsweep wcp </subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">wcpFilesweep.groovy wcpinmatching wcpinmatchinghtmlfooter wcpinmatchinghtmlheader wcpinmatching-idebk wcpinmatchingmonthlyreport wcpinmatching-service wcpintool wcpintoolhtmlfooter wcpintoolhtmlheader wcpintoolmonthlyreport wcpintool-service wcplabels wcplabelsaging wcplabelsamples wcpmanifest wcpmanifestdg1 wcpmatching wmsacqpoimport wmsacqpoimportmonthlyreport wmscircreports wmsinacqpoimport wmsinacqpoimporthtmlfooter wmsinacqpoimporthtmlheader wmsinacqpoimportmonthlyreport wmsinacqpoimport-qa-service wmsinacqpoimport-service wmsinacqpoimporttestenqueue wmsindatabase-service wmsindetails-report wmsinhistory-report wmsinpatron wmsinpatronactivation-handler wmsinpatronhtmlfooter wmsinpatronhtmlheader wmsinpatronmonthlyreport wmsinsummary-report wmsreports wmstestinpatron wmstestinpatronactivation-handler wmstestinpatronactivation-report x12sweep xmlchunker xmlcleanup xmlcleanupnew xmlcleanuptest xmlcomposition XmlCompositionRequest.xsd xmlcompositionservice xmljoiner XmlToolsLib.jar </subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">algebras, real C*-algebras and W*-algebras), and some basic facts are given, one can get some results on real operator algebras easily. The text is also an introduction to real operator algebras, written in a self-contained manner. The reader needs just a general knowledge of Banach algebras and operator algebras</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Algèbres normées</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Banach, Algèbres de</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Algèbres d'opérateurs</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">MATHEMATICS / Algebra / Linear</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Banach algebras</subfield><subfield code="2">fast</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Operator algebras</subfield><subfield code="2">fast</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Operatoralgebra</subfield><subfield code="2">swd</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Banach algebras</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Operator algebras</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Operatoralgebra</subfield><subfield code="0">(DE-588)4129366-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Operatoralgebra</subfield><subfield code="0">(DE-588)4129366-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Li, Bingren</subfield><subfield code="e">Sonstige</subfield><subfield code="4">oth</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=235622</subfield><subfield code="x">Aggregator</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-4-EBA</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-028543716</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=235622</subfield><subfield code="l">FAW01</subfield><subfield code="p">ZDB-4-EBA</subfield><subfield code="q">FAW_PDA_EBA</subfield><subfield code="x">Aggregator</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=235622</subfield><subfield code="l">FAW02</subfield><subfield code="p">ZDB-4-EBA</subfield><subfield code="q">FAW_PDA_EBA</subfield><subfield code="x">Aggregator</subfield><subfield code="3">Volltext</subfield></datafield></record></collection> |
| id | DE-604.BV043119525 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:18:01Z |
| institution | BVB |
| isbn | 1281935611 9781281935618 9789812383808 9789812795182 9812383808 9812795189 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-028543716 |
| oclc_num | 825768141 |
| open_access_boolean | |
| owner | DE-1046 DE-1047 |
| owner_facet | DE-1046 DE-1047 |
| physical | 1 Online-Ressource (xiii, 241 pages) |
| psigel | ZDB-4-EBA ZDB-4-EBA FAW_PDA_EBA |
| publishDate | 2003 |
| publishDateSearch | 2003 |
| publishDateSort | 2003 |
| publisher | World Scientific |
| record_format | marc |
| spelling | Li, Bingren Verfasser aut Real operator algebras Bingren Li River Edge, N.J. World Scientific ©2003 1 Online-Ressource (xiii, 241 pages) txt rdacontent c rdamedia cr rdacarrier Includes bibliographical references (pages 233-235) and indexes 1. Real Banach and Hilbert spaces. 1.1. Complexification of real Banach and Hilbert spaces. 1.2. Spectral decomposition theorem in real Hilbert spaces -- 2. Real Banach algebras. 2.1. Definition and complexification. 2.2. Divisible real Banach algebras. 2.3. The topological group of invertible elements and its principal component. 2.4. Radical. 2.5. Functional calculus. 2.6. Arens products. 2.7. Abelian real Banach algebras -- 3. Real Banach * algebras. 3.1. Some basic lemmas. 3.2. Abelian real Banach * algebras. 3.3. Positive linear functionals and GNS construction. 3.4. * Representations and topologically irreducible * representations. 3.5. * Radical. 3.6. Symmetric real Banach * algebras -- - 4. Fundamentals of real Von Neumann algebras. 4.1. Banach spaces of operators on a real Hilbert space. 4.2. Locally convex topologies in B(H). 4.3. Von Neumann's double commutation theorem. 4.4. Kaplansky's density theorem, tensor product commutation theorem, and comparison of projections. 4.5. Positive linear functionals. 4.6. [symbol]-finite real VN algebras -- 5. Fundamentals of real C*-algebras. 5.1. Definition and basic properties. 5.2. Positive functionals and equivalent definition of real C*-algebras. 5.3. Pure real states, their left kernels, and irreducible * representations. 5.4. Ideals, quotient algebras and extreme points. 5.5. The bidual of a real C*-algebra. 5.6. The uniqueness of * operation. 5.7. Finite-dimensional real C*-algebras. 5.8. The enveloping real C*-algebra of a hermitian real Banach * algebra. 5.9. * Representations of abelian real C*-algebras -- - 6. Real W*-algebras. 6.1. Definition and basic properties. 6.2. Normal linear functionals and singular linear functionals. 6.3. Abelian real W*-algebras. 6.4. Unitaries and partial isometries -- 7. Gelfand-Naimark conjecture in the real case. 7.1. Real C*-equivalent algebras. 7.2. The closed unit ball of a unital real C*-algebra. 7.3. Gelfand-Naimark conjecture in the real case -- 8. Classification of real W*-algebras. 8.1. Classification of real W*-algebras. 8.2. Finite real W*-algebras. 8.3. Properly infinite real W*-algebras. 8.4. Semi-finite real W*-algebras. 8.5. Purely infinite (type III) real W*-algebras. 8.6. Properties on other classes of real W*-algebras. 8.7. Real factors and tensor products -- 9. Real reduction theory. 9.1. Real measurable fields of Hilbert spaces. 9.2. Real measurable fields of operators. 9.3. Real measurable fields of VN algebras. 9.4. Real reduction theory -- - 10. (AF) real C*-algebras. 10.1. Standard matrix unit. 10.2. Technical lemmas. 10.3. Definition and basic properties The theory of operator algebras is generally considered over the field of complex numbers and in the complex Hilbert spaces. So it is a natural and interesting problem: How is the theory in the field of real numbers? Up to now, the theory of operator algebras over the field of real numbers has seemed not to be introduced systematically and sufficiently. The aim of this text is to set up the fundamentals of real operator algebras and to give a systematic discussion for real operator algebras. Since the treatment is from the beginning (real Banach and Hilbert spaces, real Banach algebras, real Banach 650_table.seel AddXMLRootTags.pl amazon-info.seel amazonls_marc.seel archivearchivein archivecontntdmin archivein archiveinarchive archiveinarchivehtmlfooter archiveinarchivehtmlheader archiveinarchivemonthlyreport archiveinarchive-service autoconfig balancereport balancereport.template balancetrack balancetrackfile balancetrackfile.template balancetrack.template base64 bash_logger.config bash_logger.config.template bash_logger.sh bridcrosswalk bridgetformat bridwatcher bridwatcher-idebk bridwrapgoogle bridwrapmarc bridwrapmarcxml bridwraponix bridwrapsoh bsdatainnotify BundleFiles.pl ccrypt cdf2marc-006.seel cdf2marc-007.seel cdf2marc-008.seel cdf2marc-leader.seel cdf2marc.seel CDF2Onix.bash checkMspEnvironment.groovy chgsvc chgsvchtmlfooter chgsvchtmlheader chgsvcmonthlyreport chgsvcout chgsvcout-service chgsvc-service cir_marc.seel cleanFiles.bash cleanlogs cleannotifylogs cleanupReports.bash codelist7.seel collectionbuilderout contntdmarchivein contributor.seel contributor_table.seel copystep countmarcrecs countrecords createaccount createReports.bash crosswalk crosswalkonix2cdf crosswalk_v1_0.wsdl curlUpload.pl dcg_marc.seel dc_marc.seel dcterms_marc.seel deapccrypt deapemailstylesheet deapfunctions deapfunctions.template deaphtmlfooter deaphtmlheader deaphtmlnavigation dharvestindata dharvestindatahtmlfooter dharvestindatahtmlheader dharvestindatamonthlyreport dharvestindataxwalk dir.properties dir.properties.template dos2unix dublincore_marc_all.seel eContent.bash eContentB.bash econtenthtmlfooter econtenthtmlheader econtentinprint econtentprint econtentprintmonthlyreport econtentprint.template edifactsweep eserials eSerials.bash eserialshtmlfooter eserialshtmlheader eserialsin eserialsmonthlyreport eSweep.bash esweep-service-startup filexaccountrequest-service filexlisting-service finddups formatweblog ftpVendorLabels.pl gem_marc.seel GenericXml.class GenericXml$_main_closure1.class getbridbase getbridbase.template geteserialsharvests getformat getorderid getorderid.template google_marc.seel handofforder hostwatcher hostwatcherhtmlfooter hostwatcherhtmlheader hostwatcher-shutn hostwatcher-start IG_35AcqOrderImportTestRequest.xml inotify inotify1 jms.properties jms.properties.template listaccounts log4j.properties logsplitter makeFiles.bash marc2cdf-006.seel marc2cdf-007.seel marc2cdf-008.seel marc2cdf-leader.seel marc2cdf.seel marc2Mods-abstract.seel marc2Mods-accessCondition.seel marc2Mods-classification.seel marc2Mods-extension.seel marc2Mods-genre-books.seel marc2Mods-genre-computerfiles.seel marc2Mods-genre-maps.seel marc2Mods-genre-music.seel marc2Mods-genre.seel marc2Mods-genre-serials.seel marc2Mods-genre-visualmaterials.seel marc2Mods-identifier.seel marc2Mods-language.seel marc2Mods-location.seel marc2Mods-name.seel marc2Mods-note.seel marc2Mods-originInfo.seel marc2Mods-physicalDescription.seel marc2Mods-recordInfo.seel marc2Mods-relatedItem.seel marc2Mods.seel marc2Mods-subject.seel marc2Mods-tableOfContents.seel marc2Mods-targetAudience.seel marc2Mods-titleInfo.seel marc2Mods-typeOfResource.seel marcchunker marc_dcsimple_loose.seel marc_dcsimple_oclc.seel marc_dcsimple.seel marc_dcterms_loose.seel marc_dcterms_oclc.seel marc_dcterms.seel marc_oclcadmin.seel marc_onixbook_Audience.seel marc_onixbook_Conference.seel marc_onixbook_Contributor.seel marc_onixbook_Description.seel marc_onixbook_Edition.seel marc_onixbook_Extent.seel marc_onixbook_Header.seel marc_onixbook_Language.seel marc_onixbook_Measure.seel marc_onixbook_OtherText.seel marc_onixbook_Prize.seel marc_onixbook_ProductContentType.seel marc_onixbook_ProductForm.seel marc_onixbook_ProductIdentifier.seel marc_onixbook_Publisher.seel marc_onixbook_RelatedProduct.seel marc_onixbook.seel marc_onixbook_Series.seel marc_onixbook_Subject.seel marc_onixbook_Title.seel MarcXml2MarcIso.bash MergeOnixDelimitedFiles.groovy mods2Marc-001-006.seel mods2Marc-007.seel mods2Marc-008.seel mods2Marc-01x-04x.seel mods2Marc-05x-08x.seel mods2Marc-1xx.seel mods2Marc-20x-24x.seel mods2Marc-2xx.seel mods2Marc-3xx.seel mods2Marc-5xx.seel mods2Marc-6xx.seel mods2Marc-7xx.seel mods2Marc-8xx.seel mods2Marc-genre-books.seel mods2Marc-genre-computerfiles.seel mods2Marc-genre-maps.seel mods2Marc-genre-music.seel mods2Marc-genre.seel mods2Marc-genre-serials.seel mods2Marc-genre-visualmaterials.seel mods2Marc-leader.seel mods2Marc.seel ncip_marc-acceptitem.seel ncip_marc.seel netreadonixonixdiffin netreadonixonixdiffin.template netreadonixonixdiffout netreadonixonixdiffout.template netreadonixonixmergein netreadonixonixmergein.template netreadonixonixmergeout netreadonixonixmergeout.template netreadonixtemplatefullin netreadonixtemplatefullin.template netreadonixtemplatefullout netreadonixtemplatefullout.template netreadonixtemplatemergein netreadonixtemplatemergein.template netreadonixtemplatemergeout netreadonixtemplatemergeout.template netreadtemplateonixdiffin netreadtemplateonixdiffin.template netreadtemplateonixdiffout netreadtemplateonixdiffout.template netreadtemplateonixfullin netreadtemplateonixfullin.template netreadtemplateonixfullout netreadtemplateonixfullout.template nextgen nextgenbacklist nextgenbacklistin nextgenbacklistin.template nextgenbalance nextgenfrontlistin nextgenfrontlistin.template nextgenfrontlistout nextgenfrontlistout.template nextgeninfrontlist nextgeninfrontlisthtmlfooter nextgeninfrontlisthtmlheader nextgeninfrontlistmonthlyreport nextgenout nextgenpostprocreport nextgenpostprocreport.template nextgen.template notify notifytemplate notify.template notifytemplate.template OAIPMH2Marc.bash oaipmh_marc.seel oaister oaister.template oclcterms_marc.seel oldbridwraponix Onix2CDF.bash onix2marc.seel onix4amazon.seel onixbook_marc_001_006.seel onixbook_marc_007.seel onixbook_marc_008.seel onixbook_marc_01x_04x.seel onixbook_marc_05x_08x.seel onixbook_marc_05x_09x.seel onixbook_marc_1xx.seel onixbook_marc_20x_24x.seel onixbook_marc_26x.seel onixbook_marc_2xx.seel onixbook_marc_3xx.seel onixbook_marc_4xx.seel onixbook_marc_5xx.seel onixbook_marc_650.seel onixbook_marc_6xx_1.seel onixbook_marc_6xx_2.seel onixbook_marc_6xx.seel onixbook_marc_7xx.seel onixbook_marc_887.seel onixbook_marc_8xx.seel onixbook_marc_9xx.seel onixbook_marc_extended.seel onixbook_marc_leader.seel onixbook_marc.seel onix_composition_template.xml onix_decomp_template.xml onix-long4amazon.seel ONIXOrderer-1.3-standalone.jar OnixSerials2Marc.seel pass2econtent productContentType_table.seel productForm_table.seel properties_qa queuewatcher quiet.properties regression.zip rsyncloginwatcher runErrLevel runErrLevel.template runRE runRE.template runVal runVal.template schemas selectrecs slog slxout sweepFiles.bash tcpserver tempfile testRmsFileXAccountRequest toplevelnotify transferredLabelFiles.lst updatelocalmvmactiveslist upload_eSerials.bash Utilities validationnotify vdatadev vdataqa vdatatst vSerials.bash wckbindata wckbinprovider wckbsweep wcp wcpFilesweep.groovy wcpinmatching wcpinmatchinghtmlfooter wcpinmatchinghtmlheader wcpinmatching-idebk wcpinmatchingmonthlyreport wcpinmatching-service wcpintool wcpintoolhtmlfooter wcpintoolhtmlheader wcpintoolmonthlyreport wcpintool-service wcplabels wcplabelsaging wcplabelsamples wcpmanifest wcpmanifestdg1 wcpmatching wmsacqpoimport wmsacqpoimportmonthlyreport wmscircreports wmsinacqpoimport wmsinacqpoimporthtmlfooter wmsinacqpoimporthtmlheader wmsinacqpoimportmonthlyreport wmsinacqpoimport-qa-service wmsinacqpoimport-service wmsinacqpoimporttestenqueue wmsindatabase-service wmsindetails-report wmsinhistory-report wmsinpatron wmsinpatronactivation-handler wmsinpatronhtmlfooter wmsinpatronhtmlheader wmsinpatronmonthlyreport wmsinsummary-report wmsreports wmstestinpatron wmstestinpatronactivation-handler wmstestinpatronactivation-report x12sweep xmlchunker xmlcleanup xmlcleanupnew xmlcleanuptest xmlcomposition XmlCompositionRequest.xsd xmlcompositionservice xmljoiner XmlToolsLib.jar algebras, real C*-algebras and W*-algebras), and some basic facts are given, one can get some results on real operator algebras easily. The text is also an introduction to real operator algebras, written in a self-contained manner. The reader needs just a general knowledge of Banach algebras and operator algebras Algèbres normées Banach, Algèbres de Algèbres d'opérateurs MATHEMATICS / Algebra / Linear bisacsh Banach algebras fast Operator algebras fast Operatoralgebra swd Banach algebras Operator algebras Operatoralgebra (DE-588)4129366-6 gnd rswk-swf Operatoralgebra (DE-588)4129366-6 s 1\p DE-604 Li, Bingren Sonstige oth http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=235622 Aggregator Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Li, Bingren Real operator algebras Algèbres normées Banach, Algèbres de Algèbres d'opérateurs MATHEMATICS / Algebra / Linear bisacsh Banach algebras fast Operator algebras fast Operatoralgebra swd Banach algebras Operator algebras Operatoralgebra (DE-588)4129366-6 gnd |
| subject_GND | (DE-588)4129366-6 |
| title | Real operator algebras |
| title_auth | Real operator algebras |
| title_exact_search | Real operator algebras |
| title_full | Real operator algebras Bingren Li |
| title_fullStr | Real operator algebras Bingren Li |
| title_full_unstemmed | Real operator algebras Bingren Li |
| title_short | Real operator algebras |
| title_sort | real operator algebras |
| topic | Algèbres normées Banach, Algèbres de Algèbres d'opérateurs MATHEMATICS / Algebra / Linear bisacsh Banach algebras fast Operator algebras fast Operatoralgebra swd Banach algebras Operator algebras Operatoralgebra (DE-588)4129366-6 gnd |
| topic_facet | Algèbres normées Banach, Algèbres de Algèbres d'opérateurs MATHEMATICS / Algebra / Linear Banach algebras Operator algebras Operatoralgebra |
| url | http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=235622 |
| work_keys_str_mv | AT libingren realoperatoralgebras |