A. Tomskova

activity

20152026

collaborators

3 papers

math.OA2026

Schur Multipliers with Unequal Operator and Completely Bounded Norms on $S_{p}$ , $1 < p \neq = 2 < \infty$

J. Huang, F. Sukochev, A. Tomskova

For every $1 < p \neq = 2 < \infty$ , we exhibit an explicit Schur multiplier on $S_{p}$ whose operator norm is strictly smaller than its completely bounded norm. More precisely, for each suc…

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.FA2015

Resolution of Peller's problem concerning Koplienko-Neidhardt trace formulae

Clément Coine, Christian Le Merdy, Denis Potapov +2

A formula for the norm of a bilinear Schur multiplier acting from the Cartesian product $S^{2} \times S^{2}$ of two copies of the Hilbert-Schmidt classes into the trac…

Schur Multipliers with Unequal Operator and Completely Bounded Norms on Sp​, 1<p=2<∞

Fuglede theorem for symmetric spaces of τ-measurable operators

Resolution of Peller's problem concerning Koplienko-Neidhardt trace formulae

Schur Multipliers with Unequal Operator and Completely Bounded Norms on $S_{p}$ , $1 < p \neq = 2 < \infty$

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