Skip to main content Accessibility help
×
  1. Home
  2. Books
  3. Banach Algebras and the General Theory of *-Algebras
  • Cited by 76
      • Volume 2: *-Algebras
      Show more authors
      • You may already have access via personal or institutional login
    • Select format
    • Publisher:
      Cambridge University Press
      Publication date:
      05 October 2013
      23 April 2001
      ISBN:
      9780511574757
      DOI:
      https://doi.org/10.1017/CBO9780511574757
      Dimensions:
      Weight & Pages:
      Dimensions:
      Weight & Pages:
      • Subjects:
      Mathematics (general), Mathematics, Abstract Analysis
      Series:
      Encyclopedia of Mathematics and its Applications (79)
    You may already have access via personal or institutional login
    • Selected: Digital
    Add to cart View cart Buy from Cambridge.org
    Subjects:
    Mathematics (general), Mathematics, Abstract Analysis
    Series:
    Encyclopedia of Mathematics and its Applications (79)
    Information

    Book description

    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.

    Reviews

    Review of the hardback:‘It will become a standard reference …’

    George Willis Source: 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.'

    Source: 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.’

    Source: 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.’

    Source: Proceedings of the Edinburgh Mathematical Society

    Refine List

    Actions for selected content:

    Select all | Deselect all
    • View selected items
    • Export citations
    • Download PDF (zip)
    • Save to Kindle
    • Save to Dropbox
    • Save to Google Drive

    Save Search

    You can save your searches here and later view and run them again in "My saved searches".

    Please provide a title, maximum of 40 characters.
    Cancel
    ×

    Contents

    Contents

    Metrics

    Altmetric attention score

    Full text views

    Total number of HTML views: 0
    Total number of PDF views: 0 *
    Loading metrics...

    Book summary page views

    Total views: 0 *
    Loading metrics...

    * Views captured on Cambridge Core between #date#. This data will be updated every 24 hours.

    Usage data cannot currently be displayed.

    Accessibility standard: Unknown

    Why this information is here

    This section outlines the accessibility features of this content - including support for screen readers, full keyboard navigation and high-contrast display options. This may not be relevant for you.

    Accessibility Information

    Accessibility compliance for the PDF of this book is currently unknown and may be updated in the future.