Innerness of derivations on subalgebras of measurable operators
Sh. A. AyupovInstitute of Mathematics and Information Technologies, Uzbekistan Academy of Sciences, F. Hodjaev str. 29, 100125, Tashkent, UzbekistanKarimbergen KudaybergenovInstitute of Mathematics and Information Technologies, Uzbekistan Academy of Sciences, F. Hodjaev str. 29, 100125, Tashkent, Uzbekistan
ABI
Аннотация
Given a von Neumann algebra M with a faithful normal semifinite trace τ, let L(M, τ) be the algebra of all τ-measurable operators affiliated with M. We prove that if A is a locally convex reflexive complete metrizable solid *-subalgebra in L(M, τ), that can be embedded into a locally bounded weak Fréchet M-bimodule, then any derivation on A is inner.
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