60 citations · 191 across the 45 of their papers we have counts for
53 papers
Isometries on algebras of locally measurable operators
Jinghao Huang, Karimbergen Kudaybergenov, Bing Yan
Let be the algebra of locally measurable operators affiliated with a von Neumann algebra , equipped with an -norm defined via a dimension function…
Isometries of Haagerup--Schultz algebras
Jinghao Huang, Karimbergen Kudaybergenov, Fedor Sukochev +1
We establish a version of the classical results concerning descriptions of isometries on -algebras and noncommutative -spaces due to Kadison (1951) and Yeadon (1981) in t…
Disjointness-preserving mappings on Calkin operator spaces and positive isometries
Kai Fang, Jinghao Huang, Karimbergen Kudaybergenov +1
Let and be two Calkin operator spaces affiliated with a semifinite von Neumann algebra equipped with a semifinite faithful norma…
Characterizing convex trace ranges in finite atomic von Neumann algebras
A. Arziev, K. Kudaybergenov
The paper is devoted to characterizing convex trace ranges in finite atomic von Neumann algebras. The main result provides us with the necessary and sufficient condition for the ra…
Rank metric isometries and determinant-preserving mappings on II-factors
Jinghao Huang, Karimbergen Kudaybergenov, Fedor Sukochev
We fully describe the general form of a linear (or conjugate-linear) rank metric isometry on the Murray--von Neumann algebra associated with a II-factor. As an application, we…
Spectral Theorem for Self-Adjoint Partial Integral Operators in Kaplansky-Hilbert Modules
K. Kudaybergenov, A. Arziev, P. Orinbaev
In this paper, a spectral theorem is proved for self-adjoint cyclically compact partial integral operators in the space of functions with mixed norm, which is a Kaplansky--Hilbert…