321 citations · 540 across the 38 of their papers we have counts for
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Local Equivalence of Rank-Two Quantum Mixed States
Sergio Albeverio, Shao-Ming Fei, Debashish Goswami
We investigate the equivalence of quantum mixed states under local unitary transformations. For a class of rank-two mixed states, a sufficient and necessary condition of local equi…
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…
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…
Prüfer's Ideal Numbers as Gelfand's maximal Ideals
S. Albeverio, V. Polischook
Polyadic arithmetics is a branch of mathematics related to --adic theory. The aim of the present paper is to show that there are very close relations between polyadic arithmetic…
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.
Derivations on the Algebra of -Compact 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 a faithful normal semi-finite trace Let be the algebra of all -measurable operators affiliated with $…