Proceedings of the Edinburgh Mathematical Society (Series 2)

Research Article

Continuity of Lie derivations on Banach algebras

M. I. Berenguera1 and A. R. Villenaa1

a1 Departamento de Analisis Matematico, Facultad de Ciencias, Universidad de Granada, 18071 Granada, Spain, E-mail:


The separating subspace of any Lie derivation on a semisimple Banach algebra A is contained in the centre of A.

(Received January 14 1997)