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Automatic continuity with application to C*-algebras

Published online by Cambridge University Press:  24 October 2008

Angel Rodriguez Palacios
Angel Rodriguez Palacios
Affiliation:
Facultad de Ciencias, Departamento de Análisis Matemático, Universidad de Granada, 18071-Granada, Spain
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Extract

The fact proved by Cleveland [4], that the topology of any (non-complete) algebra norm on a C*-algebra is stronger than the topology of the usual norm, is reencountered as a direct consequence of a theorem, which we prove in this note, stating that homomorphisms from certain non-complete normed (associative) algebras onto some semisimple Banach algebras are automatically continuous.

Information

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 107 , Issue 2 , March 1990 , pp. 345 - 347
Copyright
Copyright © Cambridge Philosophical Society 1990

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References

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