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Weak spectral synthesis for the projective tensor product of commutative Banach algebras
Authors:Eberhard Kaniuth
Affiliation:Institut für Mathematik, Universität Paderborn, D-33095 Paderborn, Germany
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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