Banach algebras on semigroups and on their compactifications
H. G. Dales, A. T. M. Lau, D. Strauss
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: Introduction; Banach algebras and their second duals; Semigroups; Semigroup algebras; Stone-?ech compactifications; The semigroup $(\beta S, \Box)$; Second duals of semigroup algebras; Related spaces and compactifications; Amenability for semigroups; Amenability of semigroup algebras; Amenability and weak amenability for certain Banach algebras; Topological centres; Open problems; Bibliography; Index of terms; Index of symbols. (MEMO/205/966)
Categories:
Year:
2010
Publisher:
Amer Mathematical Society
Language:
english
Pages:
178
ISBN 10:
0821847759
ISBN 13:
9780821847756
Series:
Memoirs of the American Mathematical Society 0966
File:
PDF, 1.24 MB
IPFS:
,
english, 2010