60 citations · 191 across the 45 of their papers we have counts for
35 papers · 1 filter
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…
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…
The ball-covering property of von Neumann algebras and noncommutative symmetric spaces
Jinghao Huang, Karimbergen Kudaybergenov, Rui Liu
We fully characterize those von Neumann algebras having the ball-covering property. We also study the ball-covering property of noncommutative symmetric spaces. In particular, we p…
Ring isomorphisms of Murray--von Neumann algebras
Shavkat Ayupov, Karimbergen Kudaybergenov
We give a complete description of ring isomorphisms between algebras of measurable operators affiliated with von Neumann algebras of type II