Non-Associative Normed Algebras: Volume 1, The Vidav–Palmer and Gelfand–Naimark Theorems

Released on by Miguel Cabrera García
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  • Non-Associative Normed Algebras: Volume 1, The Vidav–Palmer and Gelfand–Naimark Theorems Book Detail

  • Author : Miguel Cabrera García
  • Release Date : 2014-07-31
  • Publisher : Cambridge University Press
  • Genre : Mathematics
  • Pages : 735
  • ISBN 13 : 1139992775
  • File Size : 92,92 MB
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Non-Associative Normed Algebras: Volume 1, The Vidav–Palmer and Gelfand–Naimark Theorems by Miguel Cabrera García PDF Summary

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first systematic account of the basic theory of normed algebras, without assuming associativity, includes many new and unpublished results and is sure to become a central resource for researchers and graduate students in the field.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

Non-Associative Normed Algebras

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The first systematic account of the basic theory of normed algebras, without assuming associativity. Sure to become a central resource.

Algebra and Applications 1

Algebra and Applications 1

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This book is part of Algebra and Geometry, a subject within the SCIENCES collection published by ISTE and Wiley, and the first of three volumes specifically foc