6 papers
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…
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…
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…