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The injective tensor product of ℒp-algebras

Published online by Cambridge University Press:  24 October 2008

T. K. Carne  and
A. M. Tonge
T. K. Carne
Affiliation:
Trinity College, Cambridge
A. M. Tonge
Affiliation:
St John's College, Cambridge
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Extract

When A1 and A2 are Banach algebras, their algebraic tensor product A1 ⊗ A2 has a natural multiplication. In this paper we investigate when the condition that A1 and A2 are ℒp-spaces constrains this multiplication to extend to the injective tensor product A1A2, making it a Banach algebra.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 83 , Issue 2 , March 1978 , pp. 237 - 242
Copyright
Copyright © Cambridge Philosophical Society 1978

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References

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