Commutative Banach Algebras Which Satisfy a Bochner-Schoenberg-Eberlein-Type Theorem

A class of commutative Banach algebras which satisfy a Bochner-Schoenberg-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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Bibliographic Details
Published in:Proceedings of the American Mathematical Society 1990, Vol.110 (1), p.149-158
Main Authors: Takahasi, Sin-Ei, Hatori, Osamu
Format: Article
Language:English
Subjects:
Algebra
Algebraic topology
Complex numbers
Mathematical functions
Mathematical theorems
Quotients
Real numbers
Semigroups
Topological theorems
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Description
Summary:A class of commutative Banach algebras which satisfy a Bochner-Schoenberg-Eberlein-type inequality is introduced. Commutative C*-algebras, the disk algebra and the Hardy algebra on the open disk are examples.
ISSN:0002-9939
1088-6826
DOI:10.1090/S0002-9939-1990-1017008-1