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EPIMORPHISMS ONTO DERIVATION ALGEBRAS

Published online by Cambridge University Press:  04 July 2003

A. R. Villena
A. R. Villena
Affiliation:
Departamento de Análisis Matemático, Facultad de Ciencias, Universidad de Granada, 18071 Granada, Spain ([email protected])
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Abstract

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We prove that the separating space of an epimorphism from a Lie–Banach algebra onto the (continuous) derivation algebra $\mathfrak{Der}(A)$ of a Banach algebra $A$ consists of derivations which map into the radical of $A$.

AMS 2000 Mathematics subject classification: Primary 46H40; 46H70. Secondary 47B47; 47B48

Keywords

derivationsLie–Banach algebrasLie epimorphisms
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 46 , Issue 2 , June 2003 , pp. 379 - 382
Copyright
Copyright © Edinburgh Mathematical Society 2003