I. M. Juraev, “<nobr>$\xi$</nobr>-Lie derivations on algebras of locally measurable operators”, Vladikavkaz. Mat. Zh., 2016, Volume 18, Number 1,Pages <nobr>26

$\xi$-Lie derivations on algebras of locally measurable operators

I. M. Juraev

Bukhara State University, Bukhara, Uzbekistan

Abstract: We study $\xi$-Lie derivations on algebras of locally measurable operators $LS(M)$, where $M$ is a von Neumann algebra without central summands of type $I_1$.

Key words: von Neumann algebra, locally measurable operator, derivation, Lie derivations, $\xi$-Lie derivations, center valued trace.

UDC: 519.652

Received: 02.03.2015