# 2-Local derivations on algebras of locally measurable operators

Source: [2-Local derivations on algebras of locally measurable operators](<https://www.sota2.com/research/paper/68fa4fdc1e209131ce966a3c>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T10:31:40.210Z

Authors: Sh. A. Ayupov, K. K. Kudaybergenov, A. K. Alauadinov

Published: 2012-09-24T05:43:39.000Z

## 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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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1209.5154>)

[PDF](<https://arxiv.org/pdf/1209.5154.pdf>)