Non-Associative Normed Algebras (Hardcover) (ISBN-13: 9781107043060)

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first systematic account of the basic theory of normed algebras, without assuming associativity, includes many new and unpublished results and is sure to become a central resource for researchers and graduate students in the field.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

Author: Miguel Cabrera Garc?, ﾁngel Rodr?uez Palacios
ISBN-10: 1107043069
ISBN-13: 9781107043060
Publisher: Cambridge University Press
Language: English
Published: 07/31/2014
Pages: 733
Format: Hardcover
Weight: 2.70lbs
Size: 9.30h x 6.20w x 1.80d