Item Successfully Added to Cart
An error was encountered while trying to add the item to the cart. Please try again.
OK
Please make all selections above before adding to cart
OK
Share this page via the icons above, or by copying the link below:
Copy To Clipboard
Successfully Copied!
Banach Algebras on Semigroups and on Their Compactifications
 
H. G. Dales University of Leeds, Leeds, England
A. T.-M. Lau University of Alberta, Edmonton, AB, Canada
D. Strauss University of Leeds, Leeds, England
Banach Algebras on Semigroups and on Their Compactifications
eBook ISBN:  978-1-4704-0580-9
Product Code:  MEMO/205/966.E
List Price: $78.00
MAA Member Price: $70.20
AMS Member Price: $46.80
Banach Algebras on Semigroups and on Their Compactifications
Click above image for expanded view
Banach Algebras on Semigroups and on Their Compactifications
H. G. Dales University of Leeds, Leeds, England
A. T.-M. Lau University of Alberta, Edmonton, AB, Canada
D. Strauss University of Leeds, Leeds, England
eBook ISBN:  978-1-4704-0580-9
Product Code:  MEMO/205/966.E
List Price: $78.00
MAA Member Price: $70.20
AMS Member Price: $46.80
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 2052010; 165 pp
    MSC: Primary 43; Secondary 46;

    Let \(S\) be a (discrete) semigroup, and let \(\ell^{\,1}(S)\) be the Banach algebra which is the semigroup algebra of \(S\). The authors study the structure of this Banach algebra and of its second dual.

    The authors determine exactly when \(\ell^{\,1}(S)\) is amenable as a Banach algebra, and shall discuss its amenability constant, showing that there are ‘forbidden values’ for this constant.

  • Table of Contents
     
     
    • Chapters
    • 1. Introduction
    • 2. Banach algebras and their second duals
    • 3. Semigroups
    • 4. Semigroup algebras
    • 5. Stone–Čech compactifications
    • 6. The semigroup $(\beta S, \Box )$
    • 7. Second duals of semigroup algebras
    • 8. Related spaces and compactifications
    • 9. Amenability for semigroups
    • 10. Amenability of semigroup algebras
    • 11. Amenability and weak amenability for certain Banach algebras
    • 12. Topological centres
    • 13. Open problems
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 2052010; 165 pp
MSC: Primary 43; Secondary 46;

Let \(S\) be a (discrete) semigroup, and let \(\ell^{\,1}(S)\) be the Banach algebra which is the semigroup algebra of \(S\). The authors study the structure of this Banach algebra and of its second dual.

The authors determine exactly when \(\ell^{\,1}(S)\) is amenable as a Banach algebra, and shall discuss its amenability constant, showing that there are ‘forbidden values’ for this constant.

  • Chapters
  • 1. Introduction
  • 2. Banach algebras and their second duals
  • 3. Semigroups
  • 4. Semigroup algebras
  • 5. Stone–Čech compactifications
  • 6. The semigroup $(\beta S, \Box )$
  • 7. Second duals of semigroup algebras
  • 8. Related spaces and compactifications
  • 9. Amenability for semigroups
  • 10. Amenability of semigroup algebras
  • 11. Amenability and weak amenability for certain Banach algebras
  • 12. Topological centres
  • 13. Open problems
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.