Non-Associative Normed Algebras, Hardback Book


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first systematic account of the basic theory of normed algebras, without assuming associativity, includes many new and unpublished results and is sure to become a central resource for researchers and graduate students in the field.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:
  • Category: Algebra
  • ISBN: 9781107043114



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