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Banach Algebras and the General Theory of *-Algebras

Banach Algebras and the General Theory of *-Algebras
2 Part Paperback Set

Volume 2. *-Algebras

Part of Encyclopedia of Mathematics and its Applications

  • Date Published: December 2009
  • availability: Temporarily unavailable - available from TBC
  • format: Multiple copy pack
  • isbn: 9780521152617

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  • This is the second volume of a two-volume set that provides a modern account of basic Banach algebra theory including all known results on general Banach *-algebras. The author emphasizes the roles of *-algebra structure and explores the algebraic results which underlie the theory of Banach algebras and *-algebras. Proofs are presented in complete detail at a level accessible to graduate students. The books will become the standard reference for the general theory of *-algebras. This second volume deals with *-algebras. Chapter 9 develops the theory of *-algebras without additional restrictions. Chapter 10 proves nearly all the results previously known for Banach *-algebras and hermitian Banach *-algebras for *-algebras with various essentially algebraic restrictions. Chapter 11 restates the previous results in terms of Banach *-algebras and uses them to prove results explicitly involving the complete norm. Chapter 12 is devoted to locally compact groups and the *-algebras related to them.

    • Comprehensive overview of latest results on Banach
    • -algebras often with simplified proofs
    • Contains a wealth of historical comments, background material, examples, and an extensive bibliography
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    Reviews & endorsements

    Review of the hardback: 'It will become a standard reference …' George Willis, Journal of London Mathematical Society

    Review of the hardback: 'This volume (as well as the first one) is written in a lucid, easily readable style (for graduate students). A number of examples and historical comments enlighten the abstract theoretical discussion. The volume contains a very rich 'bibliography' (on 109 pages!). This two-volume monograph is warmly recommended to graduate students and researchers interested in Banach algebras and *-algebras.' Acta. Sci. Math.

    Review of the hardback: 'With a bibliography of more than 100 pages, these two volumes will form an excellent reference for the subject.' Mathematika

    Review of the hardback: 'It is immediately obvious that this is a mammoth work … the author has a truly remarkable knowledge of the literature, and this has been assimilated into the text.' Proceedings of the Edinburgh Mathematical Society

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    Product details

    • Date Published: December 2009
    • format: Multiple copy pack
    • isbn: 9780521152617
    • dimensions: 234 x 157 x 46 mm
    • weight: 1.22kg
    • availability: Temporarily unavailable - available from TBC
  • Table of Contents

    9. *-algebras
    10. Special *-algebras
    11. Banach *-algebras
    12. Locally compact groups and their *-algebras
    Bibliography
    Index
    Symbol index.

  • Author

    Theodore W. Palmer, University of Oregon

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