Non-associative normed algebras, Volume 2, Representation theory and the Zel'manov approach:
This first systematic account of the basic theory of normed algebras, without assuming associativity, includes many new and unpublished results and is sure to become a central resource for researchers and graduate students in the field. This second volume revisits JB*-triples, covers Zel'manov&...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
2018
|
| Series: | Encyclopedia of mathematics and its applications 167
|
| Subjects: | |
| Online Access: | BSB01 FHN01 UBA01 Volltext |
| Summary: | This first systematic account of the basic theory of normed algebras, without assuming associativity, includes many new and unpublished results and is sure to become a central resource for researchers and graduate students in the field. This second volume revisits JB*-triples, covers Zel'manov's celebrated work in Jordan theory, proves the unit-free variant of the Vidav-Palmer theorem, and develops the representation theory of alternative C*-algebras and non-commutative JB*-algebras. This completes the work begun in the first volume, which introduced these algebras and discussed the so-called non-associative Gelfand-Naimark and Vidav-Palmer theorems. This book interweaves pure algebra, geometry of normed spaces, and infinite-dimensional complex analysis. Novel proofs are presented in complete detail at a level accessible to graduate students. The book contains a wealth of historical comments, background material, examples, and an extensive bibliography |
| Item Description: | Title from publisher's bibliographic system (viewed on 24 Apr 2018) |
| Physical Description: | 1 Online-Ressource (xxvii, 729 Seiten) |
| DOI: | 10.1017/9781107337817 |
Staff View
MARC
| LEADER | 00000nmm a2200000zc 4500 | ||
|---|---|---|---|
| 001 | BV045088018 | ||
| 003 | DE-604 | ||
| 005 | 20181214 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 180716s2018 |||| o||u| ||||||eng d | ||
| 020 | |z 9781107337817 |c Online |9 9781107337817 | ||
| 024 | 7 | |a 10.1017/9781107337817 |2 doi | |
| 035 | |a (ZDB-20-CBO)CR9781107337817 | ||
| 035 | |a (OCoLC)1037875021 | ||
| 035 | |a (DE-599)BVBBV045088018 | ||
| 040 | |a DE-604 |b ger |e rda | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-12 |a DE-92 |a DE-384 | ||
| 082 | 0 | |a 512/.554 | |
| 084 | |a SK 230 |0 (DE-625)143225: |2 rvk | ||
| 084 | |a SK 600 |0 (DE-625)143248: |2 rvk | ||
| 100 | 1 | |a Cabrera García, Miguel |e Verfasser |0 (DE-588)1060083906 |4 aut | |
| 245 | 1 | 0 | |a Non-associative normed algebras, Volume 2, Representation theory and the Zel'manov approach |c Miguel Cabrera García, Ángel Rodríguez Palacios |
| 264 | 1 | |a Cambridge |b Cambridge University Press |c 2018 | |
| 300 | |a 1 Online-Ressource (xxvii, 729 Seiten) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 490 | 0 | |a Encyclopedia of mathematics and its applications 167 | |
| 500 | |a Title from publisher's bibliographic system (viewed on 24 Apr 2018) | ||
| 520 | |a This first systematic account of the basic theory of normed algebras, without assuming associativity, includes many new and unpublished results and is sure to become a central resource for researchers and graduate students in the field. This second volume revisits JB*-triples, covers Zel'manov's celebrated work in Jordan theory, proves the unit-free variant of the Vidav-Palmer theorem, and develops the representation theory of alternative C*-algebras and non-commutative JB*-algebras. This completes the work begun in the first volume, which introduced these algebras and discussed the so-called non-associative Gelfand-Naimark and Vidav-Palmer theorems. This book interweaves pure algebra, geometry of normed spaces, and infinite-dimensional complex analysis. Novel proofs are presented in complete detail at a level accessible to graduate students. The book contains a wealth of historical comments, background material, examples, and an extensive bibliography | ||
| 650 | 4 | |a Banach algebras | |
| 650 | 4 | |a Algebra | |
| 650 | 0 | 7 | |a Normierte Algebra |0 (DE-588)4172037-4 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Banach-Algebra |0 (DE-588)4193187-7 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Banach-Algebra |0 (DE-588)4193187-7 |D s |
| 689 | 0 | 1 | |a Normierte Algebra |0 (DE-588)4172037-4 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Rodríguez Palacios, Ángel |e Verfasser |0 (DE-588)1060083957 |4 aut | |
| 776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe |z 9781107043114 |
| 856 | 4 | 0 | |u https://doi.org/10.1017/9781107337817 |x Verlag |z URL des Erstveröffentlichers |3 Volltext |
| 912 | |a ZDB-20-CBO | ||
| 999 | |a oai:aleph.bib-bvb.de:BVB01-030478866 | ||
| 966 | e | |u https://doi.org/10.1017/9781107337817 |l BSB01 |p ZDB-20-CBO |q BSB_PDA_CBO |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1017/9781107337817 |l FHN01 |p ZDB-20-CBO |q FHN_PDA_CBO |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1017/9781107337817 |l UBA01 |p ZDB-20-CBO |x Verlag |3 Volltext | |
Record in the Search Index
| _version_ | 1804178709032206336 |
|---|---|
| any_adam_object | |
| author | Cabrera García, Miguel Rodríguez Palacios, Ángel |
| author_GND | (DE-588)1060083906 (DE-588)1060083957 |
| author_facet | Cabrera García, Miguel Rodríguez Palacios, Ángel |
| author_role | aut aut |
| author_sort | Cabrera García, Miguel |
| author_variant | g m c gm gmc p á r pá pár |
| building | Verbundindex |
| bvnumber | BV045088018 |
| classification_rvk | SK 230 SK 600 |
| collection | ZDB-20-CBO |
| ctrlnum | (ZDB-20-CBO)CR9781107337817 (OCoLC)1037875021 (DE-599)BVBBV045088018 |
| 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 |
| doi_str_mv | 10.1017/9781107337817 |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>03122nmm a2200517zc 4500</leader><controlfield tag="001">BV045088018</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20181214 </controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">180716s2018 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="z">9781107337817</subfield><subfield code="c">Online</subfield><subfield code="9">9781107337817</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1017/9781107337817</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ZDB-20-CBO)CR9781107337817</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)1037875021</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV045088018</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-12</subfield><subfield code="a">DE-92</subfield><subfield code="a">DE-384</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">512/.554</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 230</subfield><subfield code="0">(DE-625)143225:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 600</subfield><subfield code="0">(DE-625)143248:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Cabrera García, Miguel</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)1060083906</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Non-associative normed algebras, Volume 2, Representation theory and the Zel'manov approach</subfield><subfield code="c">Miguel Cabrera García, Ángel Rodríguez Palacios</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><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-Ressource (xxvii, 729 Seiten)</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="490" ind1="0" ind2=" "><subfield code="a">Encyclopedia of mathematics and its applications 167</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Title from publisher's bibliographic system (viewed on 24 Apr 2018)</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">This first systematic account of the basic theory of normed algebras, without assuming associativity, includes many new and unpublished results and is sure to become a central resource for researchers and graduate students in the field. This second volume revisits JB*-triples, covers Zel'manov's celebrated work in Jordan theory, proves the unit-free variant of the Vidav-Palmer theorem, and develops the representation theory of alternative C*-algebras and non-commutative JB*-algebras. This completes the work begun in the first volume, which introduced these algebras and discussed the so-called non-associative Gelfand-Naimark and Vidav-Palmer theorems. This book interweaves pure algebra, geometry of normed spaces, and infinite-dimensional complex analysis. Novel proofs are presented in complete detail at a level accessible to graduate students. The book contains a wealth of historical comments, background material, examples, and an extensive bibliography</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Banach algebras</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Algebra</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Normierte Algebra</subfield><subfield code="0">(DE-588)4172037-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Banach-Algebra</subfield><subfield code="0">(DE-588)4193187-7</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Banach-Algebra</subfield><subfield code="0">(DE-588)4193187-7</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Normierte Algebra</subfield><subfield code="0">(DE-588)4172037-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Rodríguez Palacios, Ángel</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)1060083957</subfield><subfield code="4">aut</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druck-Ausgabe</subfield><subfield code="z">9781107043114</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1017/9781107337817</subfield><subfield code="x">Verlag</subfield><subfield code="z">URL des Erstveröffentlichers</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-20-CBO</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-030478866</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1017/9781107337817</subfield><subfield code="l">BSB01</subfield><subfield code="p">ZDB-20-CBO</subfield><subfield code="q">BSB_PDA_CBO</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1017/9781107337817</subfield><subfield code="l">FHN01</subfield><subfield code="p">ZDB-20-CBO</subfield><subfield code="q">FHN_PDA_CBO</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1017/9781107337817</subfield><subfield code="l">UBA01</subfield><subfield code="p">ZDB-20-CBO</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield></record></collection> |
| id | DE-604.BV045088018 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T08:08:16Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030478866 |
| oclc_num | 1037875021 |
| open_access_boolean | |
| owner | DE-12 DE-92 DE-384 |
| owner_facet | DE-12 DE-92 DE-384 |
| physical | 1 Online-Ressource (xxvii, 729 Seiten) |
| psigel | ZDB-20-CBO ZDB-20-CBO BSB_PDA_CBO ZDB-20-CBO FHN_PDA_CBO |
| publishDate | 2018 |
| publishDateSearch | 2018 |
| publishDateSort | 2018 |
| publisher | Cambridge University Press |
| record_format | marc |
| series2 | Encyclopedia of mathematics and its applications 167 |
| spelling | Cabrera García, Miguel Verfasser (DE-588)1060083906 aut Non-associative normed algebras, Volume 2, Representation theory and the Zel'manov approach Miguel Cabrera García, Ángel Rodríguez Palacios Cambridge Cambridge University Press 2018 1 Online-Ressource (xxvii, 729 Seiten) txt rdacontent c rdamedia cr rdacarrier Encyclopedia of mathematics and its applications 167 Title from publisher's bibliographic system (viewed on 24 Apr 2018) This first systematic account of the basic theory of normed algebras, without assuming associativity, includes many new and unpublished results and is sure to become a central resource for researchers and graduate students in the field. This second volume revisits JB*-triples, covers Zel'manov's celebrated work in Jordan theory, proves the unit-free variant of the Vidav-Palmer theorem, and develops the representation theory of alternative C*-algebras and non-commutative JB*-algebras. This completes the work begun in the first volume, which introduced these algebras and discussed the so-called non-associative Gelfand-Naimark and Vidav-Palmer theorems. This book interweaves pure algebra, geometry of normed spaces, and infinite-dimensional complex analysis. Novel proofs are presented in complete detail at a level accessible to graduate students. The book contains a wealth of historical comments, background material, examples, and an extensive bibliography Banach algebras Algebra Normierte Algebra (DE-588)4172037-4 gnd rswk-swf Banach-Algebra (DE-588)4193187-7 gnd rswk-swf Banach-Algebra (DE-588)4193187-7 s Normierte Algebra (DE-588)4172037-4 s DE-604 Rodríguez Palacios, Ángel Verfasser (DE-588)1060083957 aut Erscheint auch als Druck-Ausgabe 9781107043114 https://doi.org/10.1017/9781107337817 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Cabrera García, Miguel Rodríguez Palacios, Ángel Non-associative normed algebras, Volume 2, Representation theory and the Zel'manov approach Banach algebras Algebra Normierte Algebra (DE-588)4172037-4 gnd Banach-Algebra (DE-588)4193187-7 gnd |
| subject_GND | (DE-588)4172037-4 (DE-588)4193187-7 |
| title | Non-associative normed algebras, Volume 2, Representation theory and the Zel'manov approach |
| title_auth | Non-associative normed algebras, Volume 2, Representation theory and the Zel'manov approach |
| title_exact_search | Non-associative normed algebras, Volume 2, Representation theory and the Zel'manov approach |
| title_full | Non-associative normed algebras, Volume 2, Representation theory and the Zel'manov approach Miguel Cabrera García, Ángel Rodríguez Palacios |
| title_fullStr | Non-associative normed algebras, Volume 2, Representation theory and the Zel'manov approach Miguel Cabrera García, Ángel Rodríguez Palacios |
| title_full_unstemmed | Non-associative normed algebras, Volume 2, Representation theory and the Zel'manov approach Miguel Cabrera García, Ángel Rodríguez Palacios |
| title_short | Non-associative normed algebras, Volume 2, Representation theory and the Zel'manov approach |
| title_sort | non associative normed algebras volume 2 representation theory and the zel manov approach |
| topic | Banach algebras Algebra Normierte Algebra (DE-588)4172037-4 gnd Banach-Algebra (DE-588)4193187-7 gnd |
| topic_facet | Banach algebras Algebra Normierte Algebra Banach-Algebra |
| url | https://doi.org/10.1017/9781107337817 |
| work_keys_str_mv | AT cabreragarciamiguel nonassociativenormedalgebrasvolume2representationtheoryandthezelmanovapproach AT rodriguezpalaciosangel nonassociativenormedalgebrasvolume2representationtheoryandthezelmanovapproach |