F. Sukochev

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20242026

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4 papers · 1 filter

math.OA2025

Isometric Structure in Noncommutative Symmetric Spaces

Kai Fang, Tianbao Guo, Jinghao Huang +1

This is a systematic study of isometries between noncommutative symmetric spaces. Let $M$ be a semifinite von Neumann algebra (or an atomic von Neumann algebra with all a…

math.OA2025

Rank metric isometries and determinant-preserving mappings on II $_{1}$ -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 $_{1}$ -factor. As an application, we…

math.OA2025

Noncommutative sharp dual Doob inequalities

Fedor Sukochev, Dejian Zhou

Let $(x_{k})_{k = 1}^{n}$ be positive elements in the noncommutative Lebesgue space $L_{p} (M)$ , and let $(E_{k})_{k = 1}^{n}$ be a sequence of conditional expectations with r…

math.OA2024

A $C^{*}$ -Algebraic Approach To Principal Symbol Calculus On Filtered Manifolds

David Farrell, Fedor Sukochev, Fulin Yang +1

From the viewpoint of $*$ -homomorphism on $C^{*}$ -algebras, we establish the principal symbol mapping for filtered manifolds which are locally isomorphic to stratified Lie groups.…

Isometric Structure in Noncommutative Symmetric Spaces

Rank metric isometries and determinant-preserving mappings on II1​-factors

Noncommutative sharp dual Doob inequalities

A C∗-Algebraic Approach To Principal Symbol Calculus On Filtered Manifolds

Rank metric isometries and determinant-preserving mappings on II $_{1}$ -factors

A $C^{*}$ -Algebraic Approach To Principal Symbol Calculus On Filtered Manifolds