2-Local derivations on algebras of locally measurable operators

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.

arXiv admin note: substantial text overlap with arXiv:1110.1557