Non Associative Normed Algebras Volume 2 Representation Theory and the Zel manov Approach 1st Edition by Miguel Cabrera Garcia, Angel Rodriguez Palacios ISBN 1107043115 9781107043114

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Product details:

ISBN 10: 1107043115

ISBN 13: 9781107043114 

Author: Miguel Cabrera García, Ángel Rodríguez Palacios

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first systematic account of the basic theory of normed algebras, without assuming associativity, includes many new and unpublished results and is sure to become a central resource for researchers and graduate students in the field.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. Miguel Cabrera García is Professor in the Department of Mathematical Analysis at the University of Granada, Spain. Ángel Rodríguez Palacios is Professor in the Department of Mathematical Analysis at the University of Granada, Spain Publisher’s note.

Table of contents:

Volume 2: Preface
5. Non-commutative JBW*-algebras, JB*-triples revisited, and a unit-free Vidav–Palmer type non-associative theorem
6. Representation theory for non-commutative JB*-algebras and alternative C*-algebras
7. Zel’manov approach
8. Selected topics in the theory of non-associative normed algebras

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Tags: Miguel Cabrera Garcia, Angel Rodriguez Palacios, Non Associative, Normed Algebras, Representation Theory, Zelmanov Approach