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first systematic account of the basic theory of normed algebras, without assuming associativity, includes many new and unpublished results and is sure to become a central resource for researchers and graduate students in the field.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 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.
Copyright:
2018
Book Details
Book Quality:
Publisher Quality
ISBN-13:
9781108570763
Publisher:
Cambridge University Press
Date of Addition:
04/04/18
Copyrighted By:
Miguel Cabrera García and Ángel Rodríguez Palacios
