D. Zanin

activity

20242026

collaborators

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8 papers · 1 filter

math.FA2026

Weyl asymptotic formulas in the nilpotent Lie group setting

Shiqi Liu, Edward McDonald, Fedor Sukochev +1

The asymptotic properties of negative order pseudo-differential operators have been an important part of the spectral theory since H.Weyl's classical results. In this paper, we der…

math.FA2026

Schur bounded patterns and submajorisation

Edward McDonald, Fedor Sukochev, Dmitriy Zanin

We characterise the Schur bounded patterns of ideals of compact operators that are not closed under submajorisation, in particular the Schatten ideals $C_{p}$ with $0 < p < 1.$ …

math.FA2025

Fuglede theorem for symmetric spaces of $I ¨ $ -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.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 $I^_{G}$ , and let $I^_{X}$ be the $C^{*}$ -algebra obtained by locally…

math.FA2024

Spectral asymptotic formula of Bessel--Riesz commutator

Zhijie Fan, Ji Li, Fedor Sukochev +1

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

math.FA2024

CalderÃ³n's commutator on Stratified Lie groups

Yanping Chen, Zhenbing Gong, Ji Li +2

Motivated by the recent work of Gimperlein and Goffeng on CalderÃ³n's commutator on compact Heisenberg type manifolds and the related weak Schatten class estimates, we establish th…