2-Local derivations on algebras of locally measurable operators

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.

Sh. A. Ayupov, K. K. Kudaybergenov, A. K. Alauadinov · 2012