UID:
almafu_9960119061002883
Format:
1 online resource (xxvii, 729 pages) :
,
digital, PDF file(s).
ISBN:
1-108-57076-3
,
1-107-33781-X
,
1-108-63143-6
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first systematic account of the basic theory of normed algebras, without assuming associativity, includes many new and unpublished results and is sure to become a central resource for researchers and graduate students in the field.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 1-107-04311-5
Language:
English
