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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Bibliographic Details
Main Authors: U. B. Tewari, M. Dutta, Shobha Madan
Format: Article
Language:English
Published: Wiley 1982-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171282000477
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