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Weakly compact homomorphisms between Banach algebras

Published online by Cambridge University Press:  24 October 2008

B. E. Johnson
B. E. Johnson
Affiliation:
The University, Newcastle upon Tyne, NE1 7RU
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Extract

Compact homomorphisms between Banach algebras are not particularly unusual – for example if A is the algebra of complex sequences {an} with nan → 0 as n → ∞ and ∥{an}∥ = supn(nan) and B = c0 then the embedding map ø:A → B is a compact homomorphism. Nevertheless for really well behaved Banach algebras it is often the case that the only weakly compact homomorphisms are those with a finite-dimensional range. A number of interesting results in this area appear in [1] and elsewhere. The purpose of this paper is to extend those results.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 112 , Issue 1 , July 1992 , pp. 157 - 163
Copyright
Copyright © Cambridge Philosophical Society 1992

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References

REFERENCES

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