Topologically left invariant means on semigroup algebras

Mathematics – Group Theory

Scientific paper

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7 pages

Scientific paper

Let $M(S)$ be the Banach algebra of all bounded regular Borel measures on a
locally compact Hausdorff semitopological semigroup $S$ with variation norm and
convolution as multiplication. We obtain necessary and sufficient conditions
for $M(S)^{*}$ to have a topologically left invariant mean.

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