Banach Algebras on Semigroups and on Their Compactifications
Author： H. G. Dales;A. T.-M. Lau;D. Strauss
Publisher： American Mathematical Society
Publication year： 2013
E-ISBN: 9781470405809
P-ISBN(Paperback): 9780821847756
P-ISBN(Hardback): 9780821847756
Subject： O152.7 Group
Keyword： Analysis
Language： ENG
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Banach Algebras on Semigroups and on Their Compactifications
Description
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.