Hostname: page-component-cd9895bd7-p9bg8 Total loading time: 0 Render date: 2024-12-26T05:59:06.568Z Has data issue: false hasContentIssue false
  • English
  • Français

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: alaminos@ugr.esavillena@ugr.es
M. MATHIEU
Affiliation:
Department of Pure Mathematics, Queen's University Belfast, Belfast BT 7 1NN, Northern Ireland. e-mail: m.m@qub.ac.uk
A. R. VILLENA
Affiliation:
Departamento de Análisis Matemático, Facultad de Ciencias, Universidad de Granada, 18071 Granada, Spain. e-mail: alaminos@ugr.esavillena@ugr.es
Get access Rights & Permissions [Opens in a new window]

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)