English

2-Local derivations on algebras of locally measurable operators

Operator Algebras 2012-09-25 v1

Abstract

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

Keywords

Cite

@article{arxiv.1209.5154,
  title  = {2-Local derivations on algebras of locally measurable operators},
  author = {Sh. A. Ayupov and K. K. Kudaybergenov and A. K. Alauadinov},
  journal= {arXiv preprint arXiv:1209.5154},
  year   = {2012}
}

Comments

arXiv admin note: substantial text overlap with arXiv:1110.1557