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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
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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
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