activity
20232026
collaborators

6 papers

math.OA2026

Jensen' s trace inequality with equality condition and noncommutative Lamperti's theorem

Kai Fang, Xin He, Jinghao Huang

Let be a semifinite von Neumann algebra equipped with a semifinite faithful normal trace . We establish Jensen's trace inequality in full generality and characteriz…

math.OA2026

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…

math.OA2026

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…

math.FA2026

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…

math.OA2025

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…

math.OA2023

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…