F. Sukochev

activity

20242026

collaborators

11 papers

math.FA2026

The Daugavet property in symmetric operator spaces

Jinghao Huang, Yerlan Nessipbayev, Fedor Sukochev +1

Under mild assumptions, the main results of this paper characterize a (real or complex) symmetric operator space affiliated with a semi-finite atomless von Neumann algebra $(\mathc…

math.FA2026

Norms of multiplication operators: answering Fialkow--Loebl question

Jinghao Huang, Fedor Sukochev, Ran Xu +1

Let $M$ be a factor equipped with a semi-finite faithful normal trace $τ$ . Let $E (0, \infty)$ be a symmetrically normed function space and $E (M, τ)$ be the corres…

math.FA2026

Arazy-type decomposition theorem for bounded linear operators and commutators on the trace class

Jinghao Huang, Fedor Sukochev, Zhizheng Yu

The classical Arazy's decomposition theorem provides a powerful tool in the study of sequences in (and isomorphisms on) a separable operator ideal $C_{E}$ of the algebra $\m…

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.FA2025

Fuglede theorem for symmetric spaces of $τ$ -measurable operators

Denis Potapov, Fedor Sukochev, Anna Tomskova +1

We extend the classical Fuglede commutativity theorem to the full scale of symmetrically normed operator ideals. Our main result provides a complete characterization: a symmetric i…

math.AP2025

Uniformity of Maximal Hypoellipticity on Graded Lie Groups: From Pointwise to Global

Shiqi Liu, Edward McDonald, Fedor Sukochev +1

On graded Lie groups, we develop a mechanism that transfers the uniformity of maximal hypoellipcity from the frozen coefficients principal part of a differential operator to the fu…

math.FA2025

Singular value asymptotics on compact smooth Riemaniann manifolds

Fedor Sukochev, Fulin Yang, Dmitriy Zanin

Let $(X, G)$ be a $d$ -dimensional compact smooth Riemannian manifold equipped with Laplace-Beltrami operator $Δ_{G}$ , and let $Π_{X}$ be the $C^{*}$ -algebra obtained by locally t…

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.FA2024

Spectral asymptotic formula of Bessel--Riesz commutator

Zhijie Fan, Ji Li, Fedor Sukochev +1

Let $R_{λ, j}$ be the $j$ -th Bessel--Riesz transform, where $n \geq 1$ , $λ > 0$ , and $j = 1, \dots, n + 1$ . In this article, we establish a Weyl type asymptotic for $[M_{f}, R_{λ, j}]$ , the com…

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.…

The Daugavet property in symmetric operator spaces

Norms of multiplication operators: answering Fialkow--Loebl question

Arazy-type decomposition theorem for bounded linear operators and commutators on the trace class

Isometric Structure in Noncommutative Symmetric Spaces

Fuglede theorem for symmetric spaces of τ-measurable operators

Uniformity of Maximal Hypoellipticity on Graded Lie Groups: From Pointwise to Global

Singular value asymptotics on compact smooth Riemaniann manifolds

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

Noncommutative sharp dual Doob inequalities

Spectral asymptotic formula of Bessel--Riesz commutator

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

Fuglede theorem for symmetric spaces of $τ$ -measurable operators

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

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