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Non-Associative Normed Algebras 2 Volume Hardback Set, Mixed media product Book

Non-Associative Normed Algebras 2 Volume Hardback Set Mixed media product

Part of the Encyclopedia of Mathematics and its Applications series

Mixed media product

Description

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first systematic account of the basic theory of normed algebras, without assuming associativity, includes many new and unpublished results and is sure to become a central resource for researchers and graduate students in the field.

The first volume focuses on the non-associative generalizations of (associative) C*-algebras provided by the so-called non-associative Gelfand-Naimark and Vidav-Palmer theorems, which give rise to alternative C*-algebras and non-commutative JB*-algebras, respectively.

The relationship between non-commutative JB*-algebras and JB*-triples is also fully discussed.

The 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.

The book interweaves pure algebra, geometry of normed spaces, and complex analysis, and includes a wealth of historical comments, background material, examples and exercises.

The authors also provide an extensive bibliography.

Information

  • Format:Mixed media product
  • Pages:1494 pages, Worked examples or Exercises
  • Publisher:Cambridge University Press
  • Publication Date:
  • Category:
  • ISBN:9781108679077
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Information

  • Format:Mixed media product
  • Pages:1494 pages, Worked examples or Exercises
  • Publisher:Cambridge University Press
  • Publication Date:
  • Category:
  • ISBN:9781108679077

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