Sh. A. Ayupov

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20092023

most citedLocal Derivations on Algebras of Measurable Operators

38 citations · 54 across the 4 of their papers we have counts for

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math.OA2011★ 1 cited

Topologies on Central Extensions of Von Neumann Algebras

Sh. A. Ayupov, K. K. Kudaybergenov, R. T. Djumamuratov

Given a von Neumann algebra $M$ we consider the central extension $E (M)$ of $M .$ We introduce the topology $t_{c} (M)$ on $E (M)$ generated by a center-valued norm and prove that it co…

math.OA2009★ 38 cited

Local Derivations on Algebras of Measurable Operators

S. Albeverio, Sh. A. Ayupov, K. K. Kudaybergenov +1

The paper is devoted to local derivations on the algebra $S (M, τ)$ of $τ$ -measurable operators affiliated with a von Neumann algebra $M$ and a faithful normal se…