Order properties of compact maps on $L^p$-spaces associated with von Neumann algebras.

Reiter’s Properties for the Actions of Locally Compact Quantum Goups on von Neumann Algebras

reiter’s properties for the actions of locally compact quantum goups on von neumann algebras

Linear maps on von-Neumann algebras behaving like anti-derivations at orthogonal elements

This article has no abstract.

On stability properties of positive contractions of L-spaces accosiated with finite von Neumann algebras

In the paper we extent the notion of Dobrushin coefficient of ergodicity for positive contractions defined on L-space associated with finite von Neumann algebra, and in terms of this coefficient we prove stability results for L-contractions.

Nonlinear $*$-Lie higher derivations on factor von Neumann algebras

Let $mathcal M$ be a factor von Neumann algebra. It is shown that every nonlinear $*$-Lie higher derivation$D={phi_{n}}_{ninmathbb{N}}$ on $mathcal M$ is additive. In particular, if $mathcal M$ is infinite type $I$factor, a concrete characterization of $D$ is given.