A. Tomskova

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20152026

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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…

Fuglede theorem for symmetric spaces of τ-measurable operators

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

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