Non-Associative Normed Algebras Hardback
by Miguel (Universidad de Granada) Cabrera Garcia, Angel (Universidad de Granada) Rodriguez Palacios
Part of the Non-Associative Normed Algebras 2 Volume Hardback Set series
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first systematic account of the basic theory of normed algebras, without assuming associativity, includes many new and unpublished results and is sure to become a central resource for researchers and graduate students in the field.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.
- Format: Hardback
- Pages: 754 pages
- Publisher: Cambridge University Press
- Publication Date: 01/03/2019
- Category: Algebra
- ISBN: 9781107043114
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