Weak spectral synthesis for the projective tensor product of commutative Banach algebras
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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 $B$.References
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Additional Information
- Eberhard Kaniuth
- Affiliation: Institut für Mathematik, Universität Paderborn, D-33095 Paderborn, Germany
- Email: kaniuth@math.uni-paderborn.de
- Received by editor(s): February 3, 2003
- Published electronically: June 2, 2004
- Communicated by: David R. Larson
- © Copyright 2004 American Mathematical Society
- 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
- MathSciNet review: 2063116