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Additive Lie derivations on the algebras of locally measurable operators

Ilhom JuraevBukhara State University. UzbekistanJaafar GaberUniversité de Technologie de Belfort-Montbéliard#R##N#UTBM90010 Belfort Cedex,
ABI

Abstract

Let  be a von Neumann algebra without central summands of type . We are studying conditions that an additive map  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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