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

collaborators

10 papers

math.OA2008

Structure of derivations on various algebras of measurable operators for type I von Neumann algebras

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

Given a von Neumann algebra $M$ denote by $S (M)$ and $L S (M)$ respectively the algebras of all measurable and locally measurable operators affiliated with $M .$ For a faithful normal…

math.OA2008

Complete description of derivations on $τ$ -compact operators for type I von Neumann algebras

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

Given a type I von Neumann algebra $M$ with a faithful normal semi-finite trace $τ,$ let $S_{0} (M, τ)$ be the algebra of all $τ$ -compact operators affiliated with $M .$ We give a comp…

math.RA2008★ 3 cited

Cartan Subalgebras of Leibniz $n$ -Algebras

S. Albeverio, Sh. A. Ayupov, B. A. Omirov +1

The present paper is devoted to the investigation of properties of Cartan subalgebras and regular elements in Leibniz $n$ -algebras. The relationship between Cartan subalgebras and…

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.GN2007

On the weight and the density of the space of order-preserving functionals

Sh. A. Ayupov, A. A. Zaitov

In the present paper it is proved that the functors $O_{τ}$ of $τ$ -smooth order preserving functionals and $O_{R}$ of Radon order preserving functionals preserve the weight of infinite…

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 $A$ …