Lie derivations on the algebras of locally measurable operators

Authors

  • V. I. Chilin National University of Uzbekistan, Tashkent, 100174, Uzbekistan 
  • I. Juraev Bukhara State University, Bukhara, 100200, Uzbekistan 

DOI:

Keywords:

Von Neumann algebras, locally measurable operator, derivation, Lie derivation, center-valued trace

Abstract

We prove that every Lie derivation on a solid $\ast$-subalgebra in an algebra of locally measurable operators is equal to a sum of an associative derivation and a center-valued trace.

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Published

2018-03-25

Issue

Vol. 24 No. 1 (2018)

Section

Articles

How to Cite

Chilin, V. I., and I. Juraev. “Lie Derivations on the Algebras of Locally Measurable Operators”. Methods of Functional Analysis and Topology, vol. 24, no. 1, Mar. 2018, pp. 16-26, https://zen.imath.kiev.ua/index.php/mfat/article/view/680.