Lie triple derivations of TUHF algebras

We study Lie triple derivations of TUHF algebras. It is shown that if L is a continuous Lie triple derivation of a TUHF algebra T, then there exists an associative derivation D of T such that L = D + lambda, where lambda is a linear map of T into its center which annihilates brackets of operators. (c) 2005 Elsevier Inc. All rights reserved.