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


Author: Eberhard Kaniuth
Journal: Proc. Amer. Math. Soc. 132 (2004), 2959-2967
MSC (2000): Primary 46J20, 46J05
DOI: https://doi.org/10.1090/S0002-9939-04-07579-3
Published electronically: June 2, 2004
MathSciNet review: 2063116
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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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Additional Information

Eberhard Kaniuth
Affiliation: Institut für Mathematik, Universität Paderborn, D-33095 Paderborn, Germany
Email: kaniuth@math.uni-paderborn.de

DOI: https://doi.org/10.1090/S0002-9939-04-07579-3
Received by editor(s): February 3, 2003
Published electronically: June 2, 2004
Communicated by: David R. Larson
Article copyright: © Copyright 2004 American Mathematical Society

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