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Essentially defined derivations on semisimple Banach algebras

Published online by Cambridge University Press:  20 January 2009

A. R. Villena
A. R. Villena
Affiliation:
Departamento de Análisis Matemático, Universidad de Granada, 18071 Granada, Spain, E-mail address:avillena@goliat.ugr.es
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Abstract

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We prove that every partially defined derivation on a semisimple complex Banach algebra whose domain is a (non necessarily closed) essential ideal is closable. In particular, we show that every derivation defined on any nonzero ideal of a prime C*-algebra is continuous.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 40 , Issue 1 , February 1997 , pp. 175 - 179
Copyright
Copyright © Edinburgh Mathematical Society 1997

References

REFERENCES

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