The Banach algebras generated by representations of abelian semigroups |
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Authors: | H S Mustafayev |
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Institution: | 1. Department of Mathematics, Faculty of Sciences, Yuzuncu Yil University, 65080, Van, Turkey
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Abstract: | Let S be a suitable subsemigroup of a locally compact abelian group. We consider the class of Banach algebras A for which there exists a continuous homomorphism ω : L 1 (S) → A with dense range. We study the behavior of the radical in such algebras. As an application, we present some results concerning the structure of weakly compact homomorphisms of semigroup algebras. |
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