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 |
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 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 205; 2010; 165 ppMSC: 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.
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Table of Contents
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Chapters
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1. Introduction
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2. Banach algebras and their second duals
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3. Semigroups
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4. Semigroup algebras
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5. Stone–Čech compactifications
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6. The semigroup $(\beta S, \Box )$
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7. Second duals of semigroup algebras
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8. Related spaces and compactifications
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9. Amenability for semigroups
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10. Amenability of semigroup algebras
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11. Amenability and weak amenability for certain Banach algebras
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12. Topological centres
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13. Open problems
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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