DERIVATIONS ON ALGEBRAS OF MEASURABLE OPERATORS
Sh. A. AyupovInstitute of Mathematics and Information Technologies, Uzbekistan Academy of Sciences, Tashkent 100125, UzbekistanKarimbergen KudaybergenovKarakalpak State University, Nukus 142012, Uzbekistan
ABI
Abstract
The present paper is a survey of recent results concerning derivations on various algebras of measurable operators affiliated with von Neumann algebras. A complete description of derivation is obtained in the case of type I von Neumann algebras. A special section is devoted to the Abelian case, namely to the existence of nontrivial derivations on algebras of measurable function. Local derivations on the above algebras are also considered.
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