%0 Journal Article
%T Some remarks on derivations in algebras of measurable operators
%A A. F. Ber
%A B. de Pagter
%A F. A. Sukochev
%J Mathematics
%D 2009
%I arXiv
%X This paper is concerned with derivations in algebras of (unbounded) operators affiliated with a von Neumann algebra $\mathcal{M}$. Let $\mathcal{% A}$ be one of the algebras of measurable operators, locally measurable operators or, $\tau $-measurable operators. We present a complete description of von Neumann algebras $\mathcal{M}$ of type $I$ in terms of their central projections such that every derivation in $\mathcal{A}$ is inner. It is also shown that every derivation in the algebra $LS(\mathcal{M})$ of all locally measurable operators with respect to a properly infinite von Neumann algebra $\mathcal{M}$ vanishes on the center of $LS(\mathcal{M})$.
%U http://arxiv.org/abs/0907.1195v1