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CONTINUITY OF LIE ISOMORPHISMS OF BANACH ALGEBRAS

Published online by Cambridge University Press:  01 January 1999

M. I. BERENGUER  and
A. R. VILLENA
M. I. BERENGUER
Affiliation:
Departamento de Analisis Matematico, Facultad de Ciencias, Universidad de Granada, 18071 Granada, Spain
A. R. VILLENA
Affiliation:
Departamento de Analisis Matematico, Facultad de Ciencias, Universidad de Granada, 18071 Granada, Spain
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Abstract

We prove that if A and B are semisimple Banach algebras, then the separating subspace of every Lie isomorphism from A onto B is contained in the centre of B.

Type
Notes and Papers
Information
Bulletin of the London Mathematical Society , Volume 31 , Issue 1 , January 1999 , pp. 6 - 10
Copyright
© The London Mathematical Society 1999

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