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181108 ||| eng |
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|a 9781107337817
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| 050 |
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4 |
|a QA326
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| 100 |
1 |
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|a Cabrera García, Miguel
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| 245 |
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|a Non-associative normed algebras, Volume 2: Representation theory and the Zel'manov approach
|c Miguel Cabrera García, Ángel Rodríguez Palacios
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| 260 |
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|a Cambridge
|b Cambridge University Press
|c 2018
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| 300 |
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|a xxvii, 729 pages
|b digital
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| 653 |
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|a Banach algebras
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| 653 |
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|a Algebra
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| 700 |
1 |
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|a Rodríguez Palacios, Ángel
|e [author]
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| 041 |
0 |
7 |
|a eng
|2 ISO 639-2
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| 989 |
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|b CBO
|a Cambridge Books Online
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| 490 |
0 |
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|a Encyclopedia of mathematics and its applications
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| 856 |
4 |
0 |
|u https://doi.org/10.1017/9781107337817
|x Verlag
|3 Volltext
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| 082 |
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|a 512.554
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| 520 |
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|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first systematic account of the basic theory of normed algebras, without assuming associativity, includes many new and unpublished results and is sure to become a central resource for researchers and graduate students in the field.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
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