Non-Associative Normed Algebras.:
The first systematic account of the basic theory of normed algebras, without assuming associativity. Sure to become a central resource.
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Weitere Verfasser: | |
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge :
Cambridge University Press,
2018.
|
| Schriftenreihe: | Encyclopedia of mathematics and its applications.
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | The first systematic account of the basic theory of normed algebras, without assuming associativity. Sure to become a central resource. |
| Beschreibung: | 6.2.4 Historical notes and comments. |
| Beschreibung: | 1 online resource (760 pages) |
| Bibliographie: | Includes bibliographical references and indexes. |
| ISBN: | 9781108631433 1108631436 |
Internformat
MARC
| LEADER | 00000cam a2200000Mu 4500 | ||
|---|---|---|---|
| 001 | ZDB-4-EBA-on1030816990 | ||
| 003 | OCoLC | ||
| 005 | 20241004212047.0 | ||
| 006 | m o d | ||
| 007 | cr |n|---||||| | ||
| 008 | 180407s2018 enk ob 001 0 eng d | ||
| 040 | |a EBLCP |b eng |e pn |c EBLCP |d YDX |d N$T |d OCLCO |d OCLCF |d OCLCQ |d INT |d OCLCQ |d UKAHL |d OCLCO |d OCLCQ |d OCLCO |d OCLCL | ||
| 066 | |c (S | ||
| 019 | |a 1030477457 |a 1030612835 |a 1030758724 |a 1032358999 |a 1032582291 |a 1032674485 |a 1038288907 |a 1083031453 | ||
| 020 | |a 9781108631433 | ||
| 020 | |a 1108631436 | ||
| 020 | |z 1107043115 | ||
| 020 | |z 9781107043114 | ||
| 035 | |a (OCoLC)1030816990 |z (OCoLC)1030477457 |z (OCoLC)1030612835 |z (OCoLC)1030758724 |z (OCoLC)1032358999 |z (OCoLC)1032582291 |z (OCoLC)1032674485 |z (OCoLC)1038288907 |z (OCoLC)1083031453 | ||
| 050 | 4 | |a QA326 | |
| 072 | 7 | |a MAT |x 002040 |2 bisacsh | |
| 082 | 7 | |a 512/.554 |2 23 | |
| 049 | |a MAIN | ||
| 100 | 1 | |a Cabrera García, Miguel. |0 http://id.loc.gov/authorities/names/n2013067549 | |
| 245 | 1 | 0 | |a Non-Associative Normed Algebras. |
| 260 | |a Cambridge : |b Cambridge University Press, |c 2018. | ||
| 300 | |a 1 online resource (760 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Encyclopedia of Mathematics and its Applications ; |v v. 167 | |
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |6 880-01 |a Cover; Half-title; Series information; Title page; Copyright information; Dedication; Contents for volume 2; Contents for volume 1; Preface; 5 Non-commutative JBW*-algebras, JB*-triples revisited, and a unit-free Vidav-Palmer type non-associative theorem; 5.1 Non-commutative JBW*-algebras; 5.1.1 The results; 5.1.2 Historical notes and comments; 5.2 Preliminaries on analytic mappings; 5.2.1 Polynomials and higher derivatives; 5.2.2 Analytic mappings on Banach spaces; 5.2.3 Holomorphic mappings; 5.2.4 Historical notes and comments; 5.3 Holomorphic automorphisms of a bounded domain. | |
| 505 | 8 | |a 5.6 Kaup's holomorphic characterization of JB*-triples5.6.1 Bounded circular domains; 5.6.2 The symmetric part of a complex Banach space; 5.6.3 Numerical ranges revisited; 5.6.4 Concluding the proof of Kaup's theorem; 5.6.5 Historical notes and comments; 5.7 JBW*-triples; 5.7.1 The bidual of a JB*-triple; 5.7.2 The main results; 5.7.3 Historical notes and comments; 5.8 Operators into the predual of a JBW*-triple; 5.8.1 On Pełczyński's property (V*); 5.8.2 L-embedded spaces have property (V*); 5.8.3 Applications to JB*-triples; 5.8.4 Historical notes and comments. | |
| 505 | 8 | |a 5.9 A holomorphic characterization of non-commutative JB*-algebras5.9.1 Complete normed algebras whose biduals are non-commutative JB*-algebras; 5.9.2 The main result; 5.9.3 Historical notes and comments; 5.10 Complements on non-commutative JB*-algebras and JB*-triples; 5.10.1 Selected topics in the theory of non-commutative JBW*-algebras; 5.10.2 The strong* topology of a JBW*-triple; 5.10.3 Isometries of non-commutative JB*-algebras; 5.10.4 Historical notes and comments; 6 Representation theory for non-commutative JB*-algebras and alternative C*-algebras; 6.1 The main results. | |
| 505 | 8 | |a 6.1.1 Factor representations of non-commutative JB*-algebras6.1.2 Associativity and commutativity of non-commutative JB*-algebras; 6.1.3 JBW*-factors; 6.1.4 Classifying prime JB*-algebras: a Zel'manovian approach; 6.1.5 Prime non-commutative JB*-algebras are centrally closed; 6.1.6 Non-commutative JBW*-factors and alternative W*-factors; 6.1.7 Historical notes and comments; 6.2 Applications of the representation theory; 6.2.1 Alternative C*- and W*-algebras; 6.2.2 The strong topology of a non-commutative JBW*-algebra; 6.2.3 Prime non-commutative JB*-algebras. | |
| 500 | |a 6.2.4 Historical notes and comments. | ||
| 520 | |a The first systematic account of the basic theory of normed algebras, without assuming associativity. Sure to become a central resource. | ||
| 504 | |a Includes bibliographical references and indexes. | ||
| 650 | 0 | |a Banach algebras. |0 http://id.loc.gov/authorities/subjects/sh85011437 | |
| 650 | 0 | |a Algebra. |0 http://id.loc.gov/authorities/subjects/sh85003425 | |
| 650 | 6 | |a Algèbre. | |
| 650 | 7 | |a algebra. |2 aat | |
| 650 | 7 | |a MATHEMATICS |x Algebra |x Intermediate. |2 bisacsh | |
| 650 | 7 | |a Algebra |2 fast | |
| 650 | 7 | |a Banach algebras |2 fast | |
| 700 | 1 | |a Rodríguez Palacios, Ángel. | |
| 758 | |i has work: |a Non-Associative Normed Algebras (Text) |1 https://id.oclc.org/worldcat/entity/E39PCGHdVMb7h4fCr4YTxkyWXd |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Cabrera García, Miguel. |t Non-Associative Normed Algebras : Volume 2, Representation Theory and the Zel'manov Approach. |d Cambridge : Cambridge University Press, ©2018 |z 9781107043114 |
| 830 | 0 | |a Encyclopedia of mathematics and its applications. |0 http://id.loc.gov/authorities/names/n42010632 | |
| 856 | 4 | 0 | |l FWS01 |p ZDB-4-EBA |q FWS_PDA_EBA |u https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1761544 |3 Volltext |
| 880 | 8 | |6 505-01/(S |a 5.3.1 The topology of the local uniform convergence5.3.2 Holomorphic automorphisms of a bounded domain; 5.3.3 The Carathéodory distance on a bounded domain; 5.3.4 Historical notes and comments; 5.4 Complete holomorphic vector fields; 5.4.1 Locally Lipschitz vector fields; 5.4.2 Holomorphic vector fields; 5.4.3 Complete holomorphic vector fields and one-parameter groups; 5.4.4 Historical notes and comments; 5.5 Banach Lie structures for aut(Ω) and Aut(Ω); 5.5.1 The real Banach Lie algebra aut(Ω); 5.5.2 The real Banach Lie group Aut(Ω); 5.5.3 Historical notes and comments. | |
| 938 | |a Askews and Holts Library Services |b ASKH |n AH34668364 | ||
| 938 | |a Askews and Holts Library Services |b ASKH |n AH34134383 | ||
| 938 | |a EBL - Ebook Library |b EBLB |n EBL5330403 | ||
| 938 | |a EBSCOhost |b EBSC |n 1761544 | ||
| 938 | |a YBP Library Services |b YANK |n 15252545 | ||
| 938 | |a YBP Library Services |b YANK |n 15305691 | ||
| 994 | |a 92 |b GEBAY | ||
| 912 | |a ZDB-4-EBA | ||
| 049 | |a DE-863 | ||
Datensatz im Suchindex
| DE-BY-FWS_katkey | ZDB-4-EBA-on1030816990 |
|---|---|
| _version_ | 1816882417973067776 |
| adam_text | |
| any_adam_object | |
| author | Cabrera García, Miguel |
| author2 | Rodríguez Palacios, Ángel |
| author2_role | |
| author2_variant | p a r pa par |
| author_GND | http://id.loc.gov/authorities/names/n2013067549 |
| author_facet | Cabrera García, Miguel Rodríguez Palacios, Ángel |
| author_role | |
| author_sort | Cabrera García, Miguel |
| author_variant | g m c gm gmc |
| building | Verbundindex |
| bvnumber | localFWS |
| callnumber-first | Q - Science |
| callnumber-label | QA326 |
| callnumber-raw | QA326 |
| callnumber-search | QA326 |
| callnumber-sort | QA 3326 |
| callnumber-subject | QA - Mathematics |
| collection | ZDB-4-EBA |
| contents | Cover; Half-title; Series information; Title page; Copyright information; Dedication; Contents for volume 2; Contents for volume 1; Preface; 5 Non-commutative JBW*-algebras, JB*-triples revisited, and a unit-free Vidav-Palmer type non-associative theorem; 5.1 Non-commutative JBW*-algebras; 5.1.1 The results; 5.1.2 Historical notes and comments; 5.2 Preliminaries on analytic mappings; 5.2.1 Polynomials and higher derivatives; 5.2.2 Analytic mappings on Banach spaces; 5.2.3 Holomorphic mappings; 5.2.4 Historical notes and comments; 5.3 Holomorphic automorphisms of a bounded domain. 5.6 Kaup's holomorphic characterization of JB*-triples5.6.1 Bounded circular domains; 5.6.2 The symmetric part of a complex Banach space; 5.6.3 Numerical ranges revisited; 5.6.4 Concluding the proof of Kaup's theorem; 5.6.5 Historical notes and comments; 5.7 JBW*-triples; 5.7.1 The bidual of a JB*-triple; 5.7.2 The main results; 5.7.3 Historical notes and comments; 5.8 Operators into the predual of a JBW*-triple; 5.8.1 On Pełczyński's property (V*); 5.8.2 L-embedded spaces have property (V*); 5.8.3 Applications to JB*-triples; 5.8.4 Historical notes and comments. 5.9 A holomorphic characterization of non-commutative JB*-algebras5.9.1 Complete normed algebras whose biduals are non-commutative JB*-algebras; 5.9.2 The main result; 5.9.3 Historical notes and comments; 5.10 Complements on non-commutative JB*-algebras and JB*-triples; 5.10.1 Selected topics in the theory of non-commutative JBW*-algebras; 5.10.2 The strong* topology of a JBW*-triple; 5.10.3 Isometries of non-commutative JB*-algebras; 5.10.4 Historical notes and comments; 6 Representation theory for non-commutative JB*-algebras and alternative C*-algebras; 6.1 The main results. 6.1.1 Factor representations of non-commutative JB*-algebras6.1.2 Associativity and commutativity of non-commutative JB*-algebras; 6.1.3 JBW*-factors; 6.1.4 Classifying prime JB*-algebras: a Zel'manovian approach; 6.1.5 Prime non-commutative JB*-algebras are centrally closed; 6.1.6 Non-commutative JBW*-factors and alternative W*-factors; 6.1.7 Historical notes and comments; 6.2 Applications of the representation theory; 6.2.1 Alternative C*- and W*-algebras; 6.2.2 The strong topology of a non-commutative JBW*-algebra; 6.2.3 Prime non-commutative JB*-algebras. |
| ctrlnum | (OCoLC)1030816990 |
| dewey-full | 512/.554 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.554 |
| dewey-search | 512/.554 |
| dewey-sort | 3512 3554 |
| 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>05976cam a2200673Mu 4500</leader><controlfield tag="001">ZDB-4-EBA-on1030816990</controlfield><controlfield tag="003">OCoLC</controlfield><controlfield tag="005">20241004212047.0</controlfield><controlfield tag="006">m o d </controlfield><controlfield tag="007">cr |n|---|||||</controlfield><controlfield tag="008">180407s2018 enk ob 001 0 eng d</controlfield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">EBLCP</subfield><subfield code="b">eng</subfield><subfield code="e">pn</subfield><subfield code="c">EBLCP</subfield><subfield code="d">YDX</subfield><subfield code="d">N$T</subfield><subfield code="d">OCLCO</subfield><subfield code="d">OCLCF</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">INT</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">UKAHL</subfield><subfield code="d">OCLCO</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">OCLCO</subfield><subfield code="d">OCLCL</subfield></datafield><datafield tag="066" ind1=" " ind2=" "><subfield code="c">(S</subfield></datafield><datafield tag="019" ind1=" " ind2=" "><subfield code="a">1030477457</subfield><subfield code="a">1030612835</subfield><subfield code="a">1030758724</subfield><subfield code="a">1032358999</subfield><subfield code="a">1032582291</subfield><subfield code="a">1032674485</subfield><subfield code="a">1038288907</subfield><subfield code="a">1083031453</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781108631433</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">1108631436</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="z">1107043115</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="z">9781107043114</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)1030816990</subfield><subfield code="z">(OCoLC)1030477457</subfield><subfield code="z">(OCoLC)1030612835</subfield><subfield code="z">(OCoLC)1030758724</subfield><subfield code="z">(OCoLC)1032358999</subfield><subfield code="z">(OCoLC)1032582291</subfield><subfield code="z">(OCoLC)1032674485</subfield><subfield code="z">(OCoLC)1038288907</subfield><subfield code="z">(OCoLC)1083031453</subfield></datafield><datafield tag="050" ind1=" " ind2="4"><subfield code="a">QA326</subfield></datafield><datafield tag="072" ind1=" " ind2="7"><subfield code="a">MAT</subfield><subfield code="x">002040</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="082" ind1="7" ind2=" "><subfield code="a">512/.554</subfield><subfield code="2">23</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">MAIN</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Cabrera García, Miguel.</subfield><subfield code="0">http://id.loc.gov/authorities/names/n2013067549</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Non-Associative Normed Algebras.</subfield></datafield><datafield tag="260" ind1=" " ind2=" "><subfield code="a">Cambridge :</subfield><subfield code="b">Cambridge University Press,</subfield><subfield code="c">2018.</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource (760 pages)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">computer</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">online resource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Encyclopedia of Mathematics and its Applications ;</subfield><subfield code="v">v. 167</subfield></datafield><datafield tag="588" ind1="0" ind2=" "><subfield code="a">Print version record.</subfield></datafield><datafield tag="505" ind1="0" ind2=" "><subfield code="6">880-01</subfield><subfield code="a">Cover; Half-title; Series information; Title page; Copyright information; Dedication; Contents for volume 2; Contents for volume 1; Preface; 5 Non-commutative JBW*-algebras, JB*-triples revisited, and a unit-free Vidav-Palmer type non-associative theorem; 5.1 Non-commutative JBW*-algebras; 5.1.1 The results; 5.1.2 Historical notes and comments; 5.2 Preliminaries on analytic mappings; 5.2.1 Polynomials and higher derivatives; 5.2.2 Analytic mappings on Banach spaces; 5.2.3 Holomorphic mappings; 5.2.4 Historical notes and comments; 5.3 Holomorphic automorphisms of a bounded domain.</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="a">5.6 Kaup's holomorphic characterization of JB*-triples5.6.1 Bounded circular domains; 5.6.2 The symmetric part of a complex Banach space; 5.6.3 Numerical ranges revisited; 5.6.4 Concluding the proof of Kaup's theorem; 5.6.5 Historical notes and comments; 5.7 JBW*-triples; 5.7.1 The bidual of a JB*-triple; 5.7.2 The main results; 5.7.3 Historical notes and comments; 5.8 Operators into the predual of a JBW*-triple; 5.8.1 On Pełczyński's property (V*); 5.8.2 L-embedded spaces have property (V*); 5.8.3 Applications to JB*-triples; 5.8.4 Historical notes and comments.</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="a">5.9 A holomorphic characterization of non-commutative JB*-algebras5.9.1 Complete normed algebras whose biduals are non-commutative JB*-algebras; 5.9.2 The main result; 5.9.3 Historical notes and comments; 5.10 Complements on non-commutative JB*-algebras and JB*-triples; 5.10.1 Selected topics in the theory of non-commutative JBW*-algebras; 5.10.2 The strong* topology of a JBW*-triple; 5.10.3 Isometries of non-commutative JB*-algebras; 5.10.4 Historical notes and comments; 6 Representation theory for non-commutative JB*-algebras and alternative C*-algebras; 6.1 The main results.</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="a">6.1.1 Factor representations of non-commutative JB*-algebras6.1.2 Associativity and commutativity of non-commutative JB*-algebras; 6.1.3 JBW*-factors; 6.1.4 Classifying prime JB*-algebras: a Zel'manovian approach; 6.1.5 Prime non-commutative JB*-algebras are centrally closed; 6.1.6 Non-commutative JBW*-factors and alternative W*-factors; 6.1.7 Historical notes and comments; 6.2 Applications of the representation theory; 6.2.1 Alternative C*- and W*-algebras; 6.2.2 The strong topology of a non-commutative JBW*-algebra; 6.2.3 Prime non-commutative JB*-algebras.</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">6.2.4 Historical notes and comments.</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">The first systematic account of the basic theory of normed algebras, without assuming associativity. Sure to become a central resource.</subfield></datafield><datafield tag="504" ind1=" " ind2=" "><subfield code="a">Includes bibliographical references and indexes.</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Banach algebras.</subfield><subfield code="0">http://id.loc.gov/authorities/subjects/sh85011437</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Algebra.</subfield><subfield code="0">http://id.loc.gov/authorities/subjects/sh85003425</subfield></datafield><datafield tag="650" ind1=" " ind2="6"><subfield code="a">Algèbre.</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">algebra.</subfield><subfield code="2">aat</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">MATHEMATICS</subfield><subfield code="x">Algebra</subfield><subfield code="x">Intermediate.</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Algebra</subfield><subfield code="2">fast</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Banach algebras</subfield><subfield code="2">fast</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Rodríguez Palacios, Ángel.</subfield></datafield><datafield tag="758" ind1=" " ind2=" "><subfield code="i">has work:</subfield><subfield code="a">Non-Associative Normed Algebras (Text)</subfield><subfield code="1">https://id.oclc.org/worldcat/entity/E39PCGHdVMb7h4fCr4YTxkyWXd</subfield><subfield code="4">https://id.oclc.org/worldcat/ontology/hasWork</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Print version:</subfield><subfield code="a">Cabrera García, Miguel.</subfield><subfield code="t">Non-Associative Normed Algebras : Volume 2, Representation Theory and the Zel'manov Approach.</subfield><subfield code="d">Cambridge : Cambridge University Press, ©2018</subfield><subfield code="z">9781107043114</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Encyclopedia of mathematics and its applications.</subfield><subfield code="0">http://id.loc.gov/authorities/names/n42010632</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="l">FWS01</subfield><subfield code="p">ZDB-4-EBA</subfield><subfield code="q">FWS_PDA_EBA</subfield><subfield code="u">https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1761544</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="880" ind1="8" ind2=" "><subfield code="6">505-01/(S</subfield><subfield code="a">5.3.1 The topology of the local uniform convergence5.3.2 Holomorphic automorphisms of a bounded domain; 5.3.3 The Carathéodory distance on a bounded domain; 5.3.4 Historical notes and comments; 5.4 Complete holomorphic vector fields; 5.4.1 Locally Lipschitz vector fields; 5.4.2 Holomorphic vector fields; 5.4.3 Complete holomorphic vector fields and one-parameter groups; 5.4.4 Historical notes and comments; 5.5 Banach Lie structures for aut(Ω) and Aut(Ω); 5.5.1 The real Banach Lie algebra aut(Ω); 5.5.2 The real Banach Lie group Aut(Ω); 5.5.3 Historical notes and comments.</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">Askews and Holts Library Services</subfield><subfield code="b">ASKH</subfield><subfield code="n">AH34668364</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">Askews and Holts Library Services</subfield><subfield code="b">ASKH</subfield><subfield code="n">AH34134383</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">EBL - Ebook Library</subfield><subfield code="b">EBLB</subfield><subfield code="n">EBL5330403</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">EBSCOhost</subfield><subfield code="b">EBSC</subfield><subfield code="n">1761544</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">YBP Library Services</subfield><subfield code="b">YANK</subfield><subfield code="n">15252545</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">YBP Library Services</subfield><subfield code="b">YANK</subfield><subfield code="n">15305691</subfield></datafield><datafield tag="994" ind1=" " ind2=" "><subfield code="a">92</subfield><subfield code="b">GEBAY</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-4-EBA</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-863</subfield></datafield></record></collection> |
| id | ZDB-4-EBA-on1030816990 |
| illustrated | Not Illustrated |
| indexdate | 2024-11-27T13:28:17Z |
| institution | BVB |
| isbn | 9781108631433 1108631436 |
| language | English |
| oclc_num | 1030816990 |
| open_access_boolean | |
| owner | MAIN DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-863 DE-BY-FWS |
| physical | 1 online resource (760 pages) |
| psigel | ZDB-4-EBA |
| publishDate | 2018 |
| publishDateSearch | 2018 |
| publishDateSort | 2018 |
| publisher | Cambridge University Press, |
| record_format | marc |
| series | Encyclopedia of mathematics and its applications. |
| series2 | Encyclopedia of Mathematics and its Applications ; |
| spelling | Cabrera García, Miguel. http://id.loc.gov/authorities/names/n2013067549 Non-Associative Normed Algebras. Cambridge : Cambridge University Press, 2018. 1 online resource (760 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier Encyclopedia of Mathematics and its Applications ; v. 167 Print version record. 880-01 Cover; Half-title; Series information; Title page; Copyright information; Dedication; Contents for volume 2; Contents for volume 1; Preface; 5 Non-commutative JBW*-algebras, JB*-triples revisited, and a unit-free Vidav-Palmer type non-associative theorem; 5.1 Non-commutative JBW*-algebras; 5.1.1 The results; 5.1.2 Historical notes and comments; 5.2 Preliminaries on analytic mappings; 5.2.1 Polynomials and higher derivatives; 5.2.2 Analytic mappings on Banach spaces; 5.2.3 Holomorphic mappings; 5.2.4 Historical notes and comments; 5.3 Holomorphic automorphisms of a bounded domain. 5.6 Kaup's holomorphic characterization of JB*-triples5.6.1 Bounded circular domains; 5.6.2 The symmetric part of a complex Banach space; 5.6.3 Numerical ranges revisited; 5.6.4 Concluding the proof of Kaup's theorem; 5.6.5 Historical notes and comments; 5.7 JBW*-triples; 5.7.1 The bidual of a JB*-triple; 5.7.2 The main results; 5.7.3 Historical notes and comments; 5.8 Operators into the predual of a JBW*-triple; 5.8.1 On Pełczyński's property (V*); 5.8.2 L-embedded spaces have property (V*); 5.8.3 Applications to JB*-triples; 5.8.4 Historical notes and comments. 5.9 A holomorphic characterization of non-commutative JB*-algebras5.9.1 Complete normed algebras whose biduals are non-commutative JB*-algebras; 5.9.2 The main result; 5.9.3 Historical notes and comments; 5.10 Complements on non-commutative JB*-algebras and JB*-triples; 5.10.1 Selected topics in the theory of non-commutative JBW*-algebras; 5.10.2 The strong* topology of a JBW*-triple; 5.10.3 Isometries of non-commutative JB*-algebras; 5.10.4 Historical notes and comments; 6 Representation theory for non-commutative JB*-algebras and alternative C*-algebras; 6.1 The main results. 6.1.1 Factor representations of non-commutative JB*-algebras6.1.2 Associativity and commutativity of non-commutative JB*-algebras; 6.1.3 JBW*-factors; 6.1.4 Classifying prime JB*-algebras: a Zel'manovian approach; 6.1.5 Prime non-commutative JB*-algebras are centrally closed; 6.1.6 Non-commutative JBW*-factors and alternative W*-factors; 6.1.7 Historical notes and comments; 6.2 Applications of the representation theory; 6.2.1 Alternative C*- and W*-algebras; 6.2.2 The strong topology of a non-commutative JBW*-algebra; 6.2.3 Prime non-commutative JB*-algebras. 6.2.4 Historical notes and comments. The first systematic account of the basic theory of normed algebras, without assuming associativity. Sure to become a central resource. Includes bibliographical references and indexes. Banach algebras. http://id.loc.gov/authorities/subjects/sh85011437 Algebra. http://id.loc.gov/authorities/subjects/sh85003425 Algèbre. algebra. aat MATHEMATICS Algebra Intermediate. bisacsh Algebra fast Banach algebras fast Rodríguez Palacios, Ángel. has work: Non-Associative Normed Algebras (Text) https://id.oclc.org/worldcat/entity/E39PCGHdVMb7h4fCr4YTxkyWXd https://id.oclc.org/worldcat/ontology/hasWork Print version: Cabrera García, Miguel. Non-Associative Normed Algebras : Volume 2, Representation Theory and the Zel'manov Approach. Cambridge : Cambridge University Press, ©2018 9781107043114 Encyclopedia of mathematics and its applications. http://id.loc.gov/authorities/names/n42010632 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1761544 Volltext 505-01/(S 5.3.1 The topology of the local uniform convergence5.3.2 Holomorphic automorphisms of a bounded domain; 5.3.3 The Carathéodory distance on a bounded domain; 5.3.4 Historical notes and comments; 5.4 Complete holomorphic vector fields; 5.4.1 Locally Lipschitz vector fields; 5.4.2 Holomorphic vector fields; 5.4.3 Complete holomorphic vector fields and one-parameter groups; 5.4.4 Historical notes and comments; 5.5 Banach Lie structures for aut(Ω) and Aut(Ω); 5.5.1 The real Banach Lie algebra aut(Ω); 5.5.2 The real Banach Lie group Aut(Ω); 5.5.3 Historical notes and comments. |
| spellingShingle | Cabrera García, Miguel Non-Associative Normed Algebras. Encyclopedia of mathematics and its applications. Cover; Half-title; Series information; Title page; Copyright information; Dedication; Contents for volume 2; Contents for volume 1; Preface; 5 Non-commutative JBW*-algebras, JB*-triples revisited, and a unit-free Vidav-Palmer type non-associative theorem; 5.1 Non-commutative JBW*-algebras; 5.1.1 The results; 5.1.2 Historical notes and comments; 5.2 Preliminaries on analytic mappings; 5.2.1 Polynomials and higher derivatives; 5.2.2 Analytic mappings on Banach spaces; 5.2.3 Holomorphic mappings; 5.2.4 Historical notes and comments; 5.3 Holomorphic automorphisms of a bounded domain. 5.6 Kaup's holomorphic characterization of JB*-triples5.6.1 Bounded circular domains; 5.6.2 The symmetric part of a complex Banach space; 5.6.3 Numerical ranges revisited; 5.6.4 Concluding the proof of Kaup's theorem; 5.6.5 Historical notes and comments; 5.7 JBW*-triples; 5.7.1 The bidual of a JB*-triple; 5.7.2 The main results; 5.7.3 Historical notes and comments; 5.8 Operators into the predual of a JBW*-triple; 5.8.1 On Pełczyński's property (V*); 5.8.2 L-embedded spaces have property (V*); 5.8.3 Applications to JB*-triples; 5.8.4 Historical notes and comments. 5.9 A holomorphic characterization of non-commutative JB*-algebras5.9.1 Complete normed algebras whose biduals are non-commutative JB*-algebras; 5.9.2 The main result; 5.9.3 Historical notes and comments; 5.10 Complements on non-commutative JB*-algebras and JB*-triples; 5.10.1 Selected topics in the theory of non-commutative JBW*-algebras; 5.10.2 The strong* topology of a JBW*-triple; 5.10.3 Isometries of non-commutative JB*-algebras; 5.10.4 Historical notes and comments; 6 Representation theory for non-commutative JB*-algebras and alternative C*-algebras; 6.1 The main results. 6.1.1 Factor representations of non-commutative JB*-algebras6.1.2 Associativity and commutativity of non-commutative JB*-algebras; 6.1.3 JBW*-factors; 6.1.4 Classifying prime JB*-algebras: a Zel'manovian approach; 6.1.5 Prime non-commutative JB*-algebras are centrally closed; 6.1.6 Non-commutative JBW*-factors and alternative W*-factors; 6.1.7 Historical notes and comments; 6.2 Applications of the representation theory; 6.2.1 Alternative C*- and W*-algebras; 6.2.2 The strong topology of a non-commutative JBW*-algebra; 6.2.3 Prime non-commutative JB*-algebras. Banach algebras. http://id.loc.gov/authorities/subjects/sh85011437 Algebra. http://id.loc.gov/authorities/subjects/sh85003425 Algèbre. algebra. aat MATHEMATICS Algebra Intermediate. bisacsh Algebra fast Banach algebras fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85011437 http://id.loc.gov/authorities/subjects/sh85003425 |
| title | Non-Associative Normed Algebras. |
| title_auth | Non-Associative Normed Algebras. |
| title_exact_search | Non-Associative Normed Algebras. |
| title_full | Non-Associative Normed Algebras. |
| title_fullStr | Non-Associative Normed Algebras. |
| title_full_unstemmed | Non-Associative Normed Algebras. |
| title_short | Non-Associative Normed Algebras. |
| title_sort | non associative normed algebras |
| topic | Banach algebras. http://id.loc.gov/authorities/subjects/sh85011437 Algebra. http://id.loc.gov/authorities/subjects/sh85003425 Algèbre. algebra. aat MATHEMATICS Algebra Intermediate. bisacsh Algebra fast Banach algebras fast |
| topic_facet | Banach algebras. Algebra. Algèbre. algebra. MATHEMATICS Algebra Intermediate. Algebra Banach algebras |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1761544 |
| work_keys_str_mv | AT cabreragarciamiguel nonassociativenormedalgebras AT rodriguezpalaciosangel nonassociativenormedalgebras |