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The Bochner-Schoenberg-Eberlein Property for Fréchet C*-algebras and uniform Fréchet Algebras

Published 12 Dec 2020 in math.FA, math.AC, and math.OA | (2012.06887v1)

Abstract: Takahasi and Hatori introduced a class of commutative Banach algebras which satisfy a Bochner-Schoenberg-Eberlein-type inequality. Baised on their results we introduced a class of commutative Fr\'echet algebras which satisfy this property. We show that Fr\'echet C*-algebras and uniform Fr\'echet algebras are BSE-algebras.

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