Tensor products of commutative Banach algebras
Let A1, A2 be commutative semisimple Banach algebras and A1⊗∂A2 be their projective tensor product. We prove that, if A1⊗∂A2 is a group algebra (measure algebra) of a locally compact abelian group, then so are A1 and A2. As a consequence, we prove that, if G is a locally compact abelian group and A...
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Main Authors: | U. B. Tewari, M. Dutta, Shobha Madan |
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Format: | Article |
Language: | English |
Published: |
Wiley
1982-01-01
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Series: | International Journal of Mathematics and Mathematical Sciences |
Subjects: | |
Online Access: | http://dx.doi.org/10.1155/S0161171282000477 |
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