Publication: The bochner-schoenberg-eberlein property for commutative banach algebras, especially fourier and fourier-stieltjes algebras
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Kaniuth, Eberhard
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Abstract
The classical Bochner-Schoenberg-Eberlein theorem characterizes the continuous functions on the dual group of a locally compact abelian group G which arise as Fourier-Stieltjes transforms of elements of the measure algebra M(G) of G. This has led to the study of the algebra of BSE-functions on the spectrum of an arbitrary commutative Banach algebra and of the concept of a BSE-algebra as introduced by Takahasi and Hatori. Since then BSE-algebras have been studied by several authors. In this paper we investigate BSE-algebras in the general context on the one hand and, on the other hand, we specialize to Fourier and Fourier-Stieltjes algebras of locally compact groups.
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Publisher
American Mathematical Society (AMS)
Subject
Mathematics
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Source
Transactions of The American Mathematical Society
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DOI
10.1090/S0002-9947-10-05060-9