Article

Nonlinear *-Lie derivations of standard operator algebras

Published in: Quaestiones Mathematicae
Volume 39 , issue 8 , 2016 , pages: 1037–1046

DOI: 10.2989/16073606.2016.1247119

Author(s): Wu Jing Department of Mathematics & Computer Science, USA

Keywords: 47B47 , 46K15 , 47B47 , 46K15

Abstract

Let ℋ be an infinite dimensional complex Hilbert space and ???? be a standard operator algebra on ℋ 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.

« Strong subgroup commutativity degree and some recent problems on the commuting probabilities of elements and subgroups

Global cycle properties in graphs with large minimum clustering coefficient »