4 citations · 7 across the 5 of their papers we have counts for
5 papers
Isometries of generalized -spaces
R. Z. Abdullaev, B. A. Madaminov
In this paper studied isometries of -spaces of integrable functions with logarithm. In particular, using passports of Boolean algebra, a necessary and sufficient condition of is…
Isomorphisms and isometries of -spaces of -integrable measurable functions
R. Z. Abdullaev, B. A. Madaminov
In the paper, it is given isomorphic classification of -spaces of -integrable measurable functions constructed using different measure spaces. At the same time, it is prove…
Orlicz Spaces associated with a Semi-Finite Von Neumann Algebra
Sh. A. Ayupov, V. I. Chilin, R. Z. Abdullaev
In the present paper we introduce a certain class of non commutative Orlicz spaces, associated with arbitrary faithful normal locally-finite weights on a semi-finite von Neumann al…
Additive derivations on generalized Arens algebras
S. Albeverio, Sh. A. Ayupov, R. Z. Abdullaev +1
Given a von Neumann algebra with a faithful normal finite trace denote by the generalized Arens algebra with respect to We give a complete description of a…
On a certain class of operator algebras and their derivations
Sh. A. Ayupov, R. Z. Abdullaev, K. K. Kudaybergenov
Given a von Neumann algebra with a faithful normal finite trace, we introduce the so called finite tracial algebra as the intersection of -spaces over al…