Non-associative normed algebras, Volume 1, The Vidav-Palmer and Gelfand-Naimark theorems:
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first systematic account of the basic theory of normed algebras, without assuming associativity, includes many new and unpublished results and is sure to become a central resource for researchers and graduate students in the field.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 first volume focuses on the non-associative generalization...
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| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2014
|
| Schriftenreihe: | Encyclopedia of mathematics and its applications
volume 154 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 URL des Erstveröffentlichers |
| 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first systematic account of the basic theory of normed algebras, without assuming associativity, includes many new and unpublished results and is sure to become a central resource for researchers and graduate students in the field.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 first volume focuses on the non-associative generalizations of (associative) C*-algebras provided by the so-called non-associative Gelfand–Naimark and Vidav–Palmer theorems, which give rise to alternative C*-algebras and non-commutative JB*-algebras, respectively. The relationship between non-commutative JB*-algebras and JB*-triples is also fully discussed. The second volume covers Zel'manov's celebrated work in Jordan theory to derive classification theorems for non-commutative JB*-algebras and JB*-triples, as well as other topics. The book interweaves pure algebra, geometry of normed spaces, and complex analysis, and includes a wealth of historical comments, background material, examples and exercises. The authors also provide an extensive bibliography |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (xxii, 712 pages) |
| ISBN: | 9781107337763 |
| DOI: | 10.1017/CBO9781107337763 |
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| 245 | 1 | 0 | |a Non-associative normed algebras, Volume 1, The Vidav-Palmer and Gelfand-Naimark theorems |c Miguel Cabrera García, Universidad de Granada, Ángel Rodriguez Palacios, Universidad de Granada |
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| 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first systematic account of the basic theory of normed algebras, without assuming associativity, includes many new and unpublished results and is sure to become a central resource for researchers and graduate students in the field.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 first volume focuses on the non-associative generalizations of (associative) C*-algebras provided by the so-called non-associative Gelfand–Naimark and Vidav–Palmer theorems, which give rise to alternative C*-algebras and non-commutative JB*-algebras, respectively. The relationship between non-commutative JB*-algebras and JB*-triples is also fully discussed. The second volume covers Zel'manov's celebrated work in Jordan theory to derive classification theorems for non-commutative JB*-algebras and JB*-triples, as well as other topics. The book interweaves pure algebra, geometry of normed spaces, and complex analysis, and includes a wealth of historical comments, background material, examples and exercises. The authors also provide an extensive bibliography | ||
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| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9781107337763 |
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| isbn | 9781107337763 |
| language | English |
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| spelling | Cabrera García, Miguel Verfasser aut Non-associative normed algebras, Volume 1, The Vidav-Palmer and Gelfand-Naimark theorems Miguel Cabrera García, Universidad de Granada, Ángel Rodriguez Palacios, Universidad de Granada Cambridge Cambridge University Press 2014 1 online resource (xxii, 712 pages) txt rdacontent c rdamedia cr rdacarrier Encyclopedia of mathematics and its applications volume 154 Title from publisher's bibliographic system (viewed on 05 Oct 2015) 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 first volume focuses on the non-associative generalizations of (associative) C*-algebras provided by the so-called non-associative Gelfand–Naimark and Vidav–Palmer theorems, which give rise to alternative C*-algebras and non-commutative JB*-algebras, respectively. The relationship between non-commutative JB*-algebras and JB*-triples is also fully discussed. The second volume covers Zel'manov's celebrated work in Jordan theory to derive classification theorems for non-commutative JB*-algebras and JB*-triples, as well as other topics. The book interweaves pure algebra, geometry of normed spaces, and complex analysis, and includes a wealth of historical comments, background material, examples and exercises. The authors also provide an extensive bibliography Banach algebras Algebra Banach-Algebra (DE-588)4193187-7 gnd rswk-swf Normierte Algebra (DE-588)4172037-4 gnd rswk-swf Banach-Algebra (DE-588)4193187-7 s Normierte Algebra (DE-588)4172037-4 s DE-604 Rodriguez Palacios, Ángel Sonstige oth Erscheint auch als Druckausgabe 978-1-107-04306-0 https://doi.org/10.1017/CBO9781107337763 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Cabrera García, Miguel Non-associative normed algebras, Volume 1, The Vidav-Palmer and Gelfand-Naimark theorems Banach algebras Algebra Banach-Algebra (DE-588)4193187-7 gnd Normierte Algebra (DE-588)4172037-4 gnd |
| subject_GND | (DE-588)4193187-7 (DE-588)4172037-4 |
| title | Non-associative normed algebras, Volume 1, The Vidav-Palmer and Gelfand-Naimark theorems |
| title_auth | Non-associative normed algebras, Volume 1, The Vidav-Palmer and Gelfand-Naimark theorems |
| title_exact_search | Non-associative normed algebras, Volume 1, The Vidav-Palmer and Gelfand-Naimark theorems |
| title_full | Non-associative normed algebras, Volume 1, The Vidav-Palmer and Gelfand-Naimark theorems Miguel Cabrera García, Universidad de Granada, Ángel Rodriguez Palacios, Universidad de Granada |
| title_fullStr | Non-associative normed algebras, Volume 1, The Vidav-Palmer and Gelfand-Naimark theorems Miguel Cabrera García, Universidad de Granada, Ángel Rodriguez Palacios, Universidad de Granada |
| title_full_unstemmed | Non-associative normed algebras, Volume 1, The Vidav-Palmer and Gelfand-Naimark theorems Miguel Cabrera García, Universidad de Granada, Ángel Rodriguez Palacios, Universidad de Granada |
| title_short | Non-associative normed algebras, Volume 1, The Vidav-Palmer and Gelfand-Naimark theorems |
| title_sort | non associative normed algebras volume 1 the vidav palmer and gelfand naimark theorems |
| topic | Banach algebras Algebra Banach-Algebra (DE-588)4193187-7 gnd Normierte Algebra (DE-588)4172037-4 gnd |
| topic_facet | Banach algebras Algebra Banach-Algebra Normierte Algebra |
| url | https://doi.org/10.1017/CBO9781107337763 |
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