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170324 ||| eng |
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|a 9781107337763
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| 050 |
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4 |
|a QA326
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| 100 |
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|a Cabrera García, Miguel
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| 245 |
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|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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| 260 |
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|a Cambridge
|b Cambridge University Press
|c 2014
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| 300 |
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|a xxii, 712 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 Rodriguez Palacios, Ángel
|e [author]
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| 041 |
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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 |
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|a Encyclopedia of mathematics and its applications
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| 856 |
4 |
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|u https://doi.org/10.1017/CBO9781107337763
|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first systematic account of the basic theory of normed algebras, without assuming associativity, includes many new and unpublished results and is sure to become a central resource for researchers and graduate students in the field.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 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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