4 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…
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…