Lie derivations on the algebras of locally measurable operators

Abstract

We prove that every Lie derivation on a solid $\star -$subalgebras of locally measurable operators it is equal to a sum of the associative derivation and the center-valued trace.

References in corpus (1)

• Derivations in algebras of operator-valued functions

Cited by in corpus (2)

• Local Lie derivations on von Neumann algebras and algebras of locally measurable operators
• Local Lie $n$-derivations on certain algebras