TY  - BOOK
AU  - Cabrera García,Miguel
AU  - Rodriguez Palacios,Ángel
TI  - Non-associative normed algebras
T2  - Encyclopedia of mathematics and its applications
SN  - 9781107337763 (ebook)
AV  - QA326 .C33 2014
U1  - 512/.554 23
PY  - 2014///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Banach algebras
KW  - Algebra
N1  - Title from publisher's bibliographic system (viewed on 05 Oct 2015)
N2  - 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first systematic account of the basic theory of normed algebras, without assuming associativity, includes many new and unpublished results and is sure to become a central resource for researchers and graduate students in the field.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
UR  - https://doi.org/10.1017/CBO9781107337763
ER  -