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first systematic account of the basic theory of normed algebras, without assuming associativity, includes many new and unpublished results and is sure to become a central resource for researchers and graduate students in the field.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&...
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2018
|
| Schriftenreihe: | Encyclopedia of mathematics and its applications 167
|
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 UBA01 Volltext |
| Zusammenfassung: | 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first systematic account of the basic theory of normed algebras, without assuming associativity, includes many new and unpublished results and is sure to become a central resource for researchers and graduate students in the field.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 |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 24 Apr 2018) |
| Beschreibung: | 1 Online-Ressource (xxvii, 729 Seiten) |
| DOI: | 10.1017/9781107337817 |
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| discipline | Mathematik |
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| 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 |
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