TY  - BOOK
AU  - Cabrera García,Miguel
AU  - Rodríguez Palacios,Ángel
TI  - Non-associative normed algebras
T2  - Encyclopedia of mathematics and its applications
SN  - 9781107337817 (ebook)
AV  - QA326 .C33 2018
U1  - 512/.554 23
PY  - 2018///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Banach algebras
KW  - Algebra
N1  - Title from publisher's bibliographic system (viewed on 24 Apr 2018)
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first systematic account of the basic theory of normed algebras, without assuming associativity, includes many new and unpublished results and is sure to become a central resource for researchers and graduate students in the field.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 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
UR  - https://doi.org/10.1017/9781107337817
ER  -