Non-Associative Normed Algebras (Hardcover) (ISBN-13: 9781107043114)

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first systematic account of the basic theory of normed algebras, without assuming associativity, includes many new and unpublished results and is sure to become a central resource for researchers and graduate students in the field.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

Author: Miguel Cabrera García,Ángel Rodríguez Palacios
ISBN-10: 1107043115
ISBN-13: 9781107043114
Publisher: Cambridge University Press
Language: English
Published: 04/12/2018
Pages: 754
Format: Hardcover
Weight: 2.82lbs
Size: 9.44h x 6.33w x 1.79d