 | Dales H.G. Banach algebras on semigroups and on their compactifications / H.G.Dales, A.T.-M.Lau, D.Strauss. - Providence: American Mathematical Society, 2010. - v, 165 p. - (Memoirs of the American mathematical society; vol.205, N 966). - Bibliogr.: p.151-157. - Ind. of terms: p.159-161. - Ind. of symb.: p.163-165. - ISBN 978-0-8218-4775-6
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Chapter 1. Introduction ........................................ 1
Chapter 2. Banach algebras and their second duals ............. 11
Chapter 3. Semigroups ......................................... 27
Chapter 4. Semigroup algebras ................................. 43
Chapter 5. Stone-Cech compactifications ....................... 55
Chapter 6. The semigroup (βS,□) ............................... 59
Chapter 7. Second duals of semigroup algebras ................. 75
Chapter 8. Related spaces and compactifications ............... 91
Chapter 9. Amenability for semigroups ......................... 99
Chapter 10. Amenability of semigroup algebras ................. 109
Chapter 11. Amenability and weak amenability for certain
Banach algebras ................................... 123
Chapter 12. Topological centres ............................... 129
Chapter 13. Open problems ..................................... 149
Bibliography .................................................. 151
Index of Terms ................................................ 159
Index of Symbols .............................................. 163
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