Non-Associative Normed Algebras: The Vidav-palmer and Gelfand-naimark Theorems: Volume 1 (Encyclopedia of Mathematics and its Applications, Series Number 154) - Image 1

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Cambridge University Press Non-Associative Normed Algebras: The Vidav-palmer and Gelfand-naimark Theorems: Volume 1 (Encyclopedia of Mathematics and its Applications, Series Number 154)

Name: Non-Associative Normed Algebras: The Vidav-palmer and Gelfand-naimark Theorems: Volume 1 (Encyclopedia of Mathematics and its Applications, Series Number 154)
Brand: Cambridge University Press

Algebra

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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first systematic account of the basic theory of normed algebras, without assuming associativity, includes many new and unpublished results and is sure to become a central resource for researchers and graduate students in the field.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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Brand: Cambridge University Press
Format: hardcover
ASIN: 1107043069
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Algebra
Domain: Amazon UK
Release Date: 31 July 2014
Listed Since: 29 October 2013

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Cambridge University Press Non-Associative Normed Algebras: The Vidav-palmer and Gelfand-naimark Theorems: Volume 1 (Encyclopedia of Mathematics and its Applications, Series Number 154)

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