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Non-Associative Normed Algebras
Hardcover
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ISBN10: 1107043115
ISBN13: 9781107043114
Publisher: Cambridge University Press
Published: Apr 12 2018
Pages: 754
Weight: 2.82
Height: 1.79 Width: 6.33 Depth: 9.44
Language: English
ISBN13: 9781107043114
Publisher: Cambridge University Press
Published: Apr 12 2018
Pages: 754
Weight: 2.82
Height: 1.79 Width: 6.33 Depth: 9.44
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first systematic account of the basic theory of normed algebras, without assuming associativity, includes many new and unpublished results and is sure to become a central resource for researchers and graduate students in the field. This 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. This completes the work begun in the first volume, which introduced these algebras and discussed the so-called non-associative Gelfand-Naimark and Vidav-Palmer theorems. This book interweaves pure algebra, geometry of normed spaces, and infinite-dimensional complex analysis. Novel proofs are presented in complete detail at a level accessible to graduate students. The book contains a wealth of historical comments, background material, examples, and an extensive bibliography.
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