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A constructive proof of Gelbaum's theorem on tensor products

Published online by Cambridge University Press:  17 April 2009

David A. Robbins
David A. Robbins
Affiliation:
Department of Mathematics, Trinity College, Hartford, Connecticut, USA.
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Abstract

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A constructive proof is given of Gelbaum's result that the maximal ideal space of the tensor product of commutative Banach algebras is homeomorphic to the cartesian product of the maximal ideal spaces.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 8 , Issue 2 , April 1973 , pp. 211 - 214
Copyright
Copyright © Australian Mathematical Society 1973

References

[1]Gelbaum, Bernard R., “Tensor products of Banach algebras”, Canad. J. Math. 11 (1959), 297–310.CrossRefGoogle Scholar