Additive   Lie derivations on the algebras of locally measurable operators

Ilhom Juraev; Jaafar Gaber

doi:10.24297/jam.v10i4.1241

Additive Lie derivations on the algebras of locally measurable operators

Authors

Ilhom Juraev Bukhara State University, Uzbekistan
Jaafar Gaber UniversitÃ© de Technologie de Belfort-MontbÃ©liard UTBM90010 Belfort Cedex,

DOI:

https://doi.org/10.24297/jam.v10i4.1241

Keywords:

von Neumann algebras, locally measurable operator, derivaÂ¬tion, additive derivation, additive Lie derivation, center-valued trace.

Abstract

Let M be a von Neumann algebra without central summands of type I_.We are studying conditions that an additive map L on the algebra of locally measurable operators has the standard form, that is equal to the sum of an additive derivation and an additive center-valued trace.

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Published

2015-04-20

How to Cite

Juraev, I., & Gaber, J. (2015). Additive Lie derivations on the algebras of locally measurable operators. JOURNAL OF ADVANCES IN MATHEMATICS, 10(4), 3425–3428. https://doi.org/10.24297/jam.v10i4.1241