[Download] "Non-Associative Normed Algebras" by Miguel Cabrera García & Ángel Rodríguez Palacios # Book PDF Kindle ePub Free
eBook details
- Title: Non-Associative Normed Algebras
- Author : Miguel Cabrera García & Ángel Rodríguez Palacios
- Release Date : January 31, 2014
- Genre: Mathematics,Books,Science & Nature,
- Pages : * pages
- Size : 19388 KB
Description
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first systematic account of the basic theory of normed algebras, without assuming associativity, includes many new and unpublished results and is sure to become a central resource for researchers and graduate students in the field.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.