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Symmetric amenability and Lie derivations

Published online by Cambridge University Press:  07 September 2004

J. ALAMINOS ,
M. MATHIEU  and
A. R. VILLENA
J. ALAMINOS
Affiliation:
Departamento de Análisis Matemático, Facultad de Ciencias, Universidad de Granada, 18071 Granada, Spain. e-mail: [email protected]@ugr.es
M. MATHIEU
Affiliation:
Department of Pure Mathematics, Queen's University Belfast, Belfast BT 7 1NN, Northern Ireland. e-mail: [email protected]
A. R. VILLENA
Affiliation:
Departamento de Análisis Matemático, Facultad de Ciencias, Universidad de Granada, 18071 Granada, Spain. e-mail: [email protected]@ugr.es
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Abstract

We prove that every Lie derivation on a symmetrically amenable semisimple Banach algebra can be uniquely decomposed into the sum of a derivation and a centre-valued trace.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 137 , Issue 2 , September 2004 , pp. 433 - 439
Copyright
2004 Cambridge Philosophical Society

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