Format:
1 online resource (xxvii, 729 pages)
ISBN:
9781107043114
,
9781107337817
Series Statement:
Encyclopedia of mathematics and its applications 167
Content:
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first systematic account of the basic theory of normed algebras, without assuming associativity, includes many new and unpublished results and is sure to become a central resource for researchers and graduate students in the field.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.
Note:
Title from publisher's bibliographic system (viewed on 24 Apr 2018)
Additional Edition:
ISBN 9781107043114
Additional Edition:
Cabrera García, Miguel Non-associative normed algebras ; Volume 2: Representation theory and the Zel'manov approach Cambridge, United Kingdom : Cambridge University Press, 2018 ISBN 1107043115
Additional Edition:
ISBN 9781107043114
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 9781107043114
Language:
English
Subjects:
Mathematics
Keywords:
Normierte Algebra
;
Banach-Algebra
DOI:
10.1017/9781107337817
