From the 1 of 4 linked papers with an AI index.
4 papers
Disjointness-preserving mappings on Calkin operator spaces and positive isometries
Kai Fang, Jinghao Huang, Karimbergen Kudaybergenov +1
The paper proves that any order‑measure continuous, disjointness‑preserving map between certain Calkin operator spaces over an atomless, finite semifinite von Neumann algebra must…
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…
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…