Weak spectral synthesis for the projective tensor product of commutative Banach algebras

Kaniuth, Eberhard

doi:10.1090/S0002-9939-04-07579-3

Weak spectral synthesis for the projective tensor product of commutative Banach algebras
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Proc. Amer. Math. Soc. 132 (2004), 2959-2967 Request permission

Abstract:

Let $A$ and $B$ be regular commutative Banach algebras and $A \widehat {\otimes } B$ their projective tensor product, and suppose that $A \widehat {\otimes } B$ is semisimple. We investigate the relation between weak spectral synthesis properties of $A \widehat {\otimes } B$ and those of $A$ and $B$.

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