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Non-Associative Normed Algebras 2 Volume Hardback Set

Non-Associative Normed Algebras 2 Volume Hardback Set

Hardcover

Series: Encyclopedia of Mathematics and Its Applications

Algebra

Currently unavailable to order

ISBN10: 1108679072
ISBN13: 9781108679077
Publisher: Cambridge
Published: May 10 2018
Pages: 1494
Weight: 5.50
Height: 3.50 Width: 6.39 Depth: 9.45
Language: English
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first systematic account of the basic theory of normed algebras, without assuming associativity, includes many new and unpublished results and is sure to become a central resource for researchers and graduate students in the field. The 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 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. 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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