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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…
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 of -smooth order preserving functionals and of Radon order preserving functionals preserve the weight of infinite…
Innerness of Derivations on Subalgebras of Measurable Operators
Sh. A. Ayupov, K. K. Kudaybergenov
Given a von Neumann algebra with a faithful normal semi-finite trace let be the algebra of all -measurable operators affiliated with We prove that if …
Description of Derivations on Measurable Operator Algebras of Type I
S. Albeverio, Sh. A. Ayupov, K. K. Kudaybergenov
Given a type I von Neumann algebra with a faithful normal semi-finite trace let be the algebra of all -measurable operators affiliated with We give a com…
n-Dimensional filiform Leibniz algebras of length (n-1) and their derivations
S. Albeverio, Sh. A. Ayupov, B. A. Omirov +1
In this work -dimensional filiform Leibniz algebras admitting a gradation of length are classified. Derivations of such algebras are also described.
Non Commutative Arens Algebras and their Derivations
S. Albeverio, Sh. A. Ayupov, K. K. Kudaybergenov
Given a von Neumann algebra with a faithful normal semi-finite trace we consider the non commutative Arens algebra and the r…
Derivations on the Algebra of Measurable Operators Affiliated with a Type I von Neumann Algebra
S. Albeverio, Sh. A. Ayupov, K. K. Kudaybergenov
Let be a type I von Neumann algebra with the center and let be the algebra of all locally measurable operators affiliated with We prove that every -linear…