| Description |
1 online resource (xxii, 712 pages). |
| Physical Medium |
polychrome |
| Description |
text file |
| Series |
Encyclopedia of mathematics and its applications ; 154
|
|
Encyclopedia of mathematics and its applications ; v. 154.
|
| Bibliography |
Includes bibliographical references (pages 671-703) and indexes. |
| 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first systematic account of the basic theory of normed algebras, without assuming associativity, includes many new and unpublished results and is sure to become a central resource for researchers and graduate students in the field.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 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. |
| Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
| Subject |
Banach algebras.
|
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Banach algebras. |
|
Algebra.
|
|
Algebra. |
| Genre/Form |
Electronic books.
|
| Added Author |
Rodriguez Palacios, Ángel, author.
|
| Added Title |
Vidav-Palmer and Gelfand-Naimark theorems |
| Other Form: |
Print version: Cabrera García, Miguel. Non-associative normed algebras 9781107043060 (DLC) 2013045718 (OCoLC)863100801 |
| ISBN |
9781316006566 (electronic book) |
|
1316006565 (electronic book) |
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9781107337763 (electronic book) |
|
1107337763 (electronic book) |
|
9781316004302 (electronic book) |
|
1316004309 (electronic book) |
|
9781139990455 (ebook) |
|
1139990454 (ebook) |
|
9781316002063 (e-book) |
|
1316002063 (e-book) |
|
9781322066707 (MyiLibrary) |
|
1322066701 (MyiLibrary) |
|
9781107043060 (hardback) |
|
1107043069 (hardback) |
|
