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Proceedings of the American Mathematical Society

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Commutative Banach algebras which satisfy a Bochner-Schoenberg-Eberlein type-theorem

Authors: Sin-ei Takahasi and Osamu Hatori
Journal: Proc. Amer. Math. Soc. 110 (1990), 149-158
MSC: Primary 46J05; Secondary 43A10, 46J10
MathSciNet review: 1017008
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Abstract: A class of commutative Banach algebras which satisfy a BochnerSchoenberg-Eberlein-type inequality is introduced. Commutative $ {C^ * }$-algebras, the disk algebra and the Hardy algebra on the open disk are examples.

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Keywords: BSE-algebra, commutative algebra, disk algebra, Hardy algebra
Article copyright: © Copyright 1990 American Mathematical Society