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arXiv · 1209.5154

2-Local derivations on algebras of locally measurable operators

Sh. A. Ayupov·K. K. Kudaybergenov·A. K. Alauadinov
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Abstract

The paper is devoted to 2-local derivations on the algebra $LS(M)$ of all locally measurable operators affiliated with a type I$_\infty$ von Neumann algebra $M.$ We prove that every 2-local derivation on $LS(M)$ is a derivation.

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Sh. A. Ayupov, K. K. Kudaybergenov, A. K. Alauadinov. 2012-09-24. 2-Local derivations on algebras of locally measurable operators. https://arxiv.org/abs/1209.5154

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