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Non-Associative Normed Algebras by Cabrera Garcia, Miguel; Rodriguez Palacios, Angel is a scholarly article available to read on EtoBox.
What is Non-Associative Normed Algebras about?
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first systematic account of the basic theory of normed algebras, without assuming associativity, includes many new and unpublished results and is sure to become a central resource for researchers and graduate students in the field.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
- Cabrera Garcia, Miguel; Rodriguez Palacios, Angel
- Publisher
- Cambridge University Press (Virtual Publishing)
- Published
- 2014
- Language
- EN
- ISBN
- 9781316011065
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