Sh. A. Ayupov

most citedDescription of Derivations on Measurable Operator Algebras of Type I

19 citations · 41 across the 10 of their papers we have counts for

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math.FA2007★ 15 cited

Algebras of unbounded operators over the ring of measurable functions and their derivations and automorphisms

S. Albeverio, Sh. A. Ayupov, A. A. Zaitov +1

In the present paper derivations and *-automorphisms of algebras of unbounded operators over the ring of measurable functions are investigated and it is shown that all L^0-linear d…

math.FA2007

Innerness of Derivations on Subalgebras of Measurable Operators

Sh. A. Ayupov, K. K. Kudaybergenov

Given a von Neumann algebra $M$ with a faithful normal semi-finite trace $τ,$ let $L (M, τ)$ be the algebra of all $τ$ -measurable operators affiliated with $M .$ We prove that if $A$ …

math.FA2007

Non Commutative Arens Algebras and their Derivations

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

Given a von Neumann algebra $M$ with a faithful normal semi-finite trace $τ,$ we consider the non commutative Arens algebra $L^{ω} (M, τ) = p \geq 1 ⋂ L^{p} (M, τ)$ and the r…