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Non-Associative Normed Algebras Volume 1, The Vidav-Palmer and Gelfand-Naimark Theorems PDF eBook

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Miguel Cabrera García and Ángel Rodríguez Palacios, "Non-Associative Normed Algebras: Volume 1, The Vidav-Palmer and Gelfand-Naimark Theorems"
English | ISBN: 1107043069 | 2014 | 733 pages | PDF | 4 MB

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first systematic account of the basic theory of normed algebras, without assuming associativity, includes many new and unpublished results and is sure to become a central resource for researchers and graduate students in the field.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.


Non-Associative Normed Algebras Volume 1, The Vidav-Palmer and Gelfand-Naimark Theorems PDF eBook

1$
Buy!Download Size: 4.2 MB


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