Non-Associative Normed Algebras

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first systematic account of the basic theory of normed algebras, without assuming associativity, includes many new and unpublished results and is sure to become a central resource for researchers and graduate students in the field.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 García,Ángel Rodríguez Palacios
Publisher: Cambridge University Press
Published: 07/31/2014
Pages: 733
Binding Type: Hardcover
Weight: 2.70lbs
Size: 9.30h x 6.20w x 1.80d
ISBN: 9781107043060

About the Author
Cabrera García, Miguel: - Miguel Cabrera García is Professor in the Department of Mathematical Analysis at the University of Granada, Spain.Rodríguez Palacios, Ángel: - Ángel Rodríguez Palacios is Professor in the Department of Mathematical Analysis at the University of Granada, Spain.