Article

Nonlinear *-Lie derivations of standard operator algebras

DOI: 10.2989/16073606.2016.1247119
Author(s): Wu Jing Department of Mathematics & Computer Science, USA,
Keywords: 47B47, 46K15, 47B47, 46K15,

Abstract

Let be an infinite dimensional complex Hilbert space and ???? be a standard operator algebra on which is closed under the adjoint operation. We prove that every nonlinear *-Lie derivation δ of ???? is automatically linear. Moreover, δ is an inner *-derivation.

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