Derivations with values in quasi-normed bimodules of locally measurable operators

Abstract

We prove that every derivation acting on a von Neumann algebra $\mathcal{M}$ with values in a quasi-normed bimodule of locally measurable operators affiliated with $\mathcal{M}$ is necessarily inner.

arXiv comment12 pages. arXiv admin note: substantial text overlap with arXiv:1302.4883