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arXiv:1302.3927 [math.FA]AbstractReferencesReviewsResources

The automatic additivity of $ΞΎ-$Lie derivations on von Neumann algebras

Zhaofang Bai, Shuanping Du, Yu Guo

Published 2013-02-16Version 1

Let ${\mathcal M}$ be a von Neumann algebra with no central summands of type I$_1$. It is shown that every nonlinear $\xi-$Lie derivation ($\xi\neq 1$) on $\mathcal M$ is an additive derivation.

Comments: 12 pages
Categories: math.FA, quant-ph
Subjects: 47B47, 47B49
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