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Continuity of homomorphisms and derivations from algebras of approximable and nuclear operators

Published online by Cambridge University Press:  24 October 2008

H. G. Dales  and
H. Jarchow
H. G. Dales
Affiliation:
Department of Pure Mathematics, University of Leeds, Leeds LS2 9JT
H. Jarchow
Affiliation:
Mathematisches Institut, Universität Zurich, Rämistrasse 74, Zurich CH-8001, Switzerland
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Extract

1. Let be a Banach algebra. We say that homomorphisms from are continuous if every homomorphism from into a Banach algebra is automatically continuous, and that derivations from are continuous if every derivation from into a Banach -bimodule is automatically continuous.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 116 , Issue 3 , November 1994 , pp. 465 - 473
Copyright
Copyright © Cambridge Philosophical Society 1994

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