2 citations · 2 across the 5 of their papers we have counts for
6 papers
Schur Multipliers with Unequal Operator and Completely Bounded Norms on ,
J. Huang, F. Sukochev, A. Tomskova
For every , we exhibit an explicit Schur multiplier on whose operator norm is strictly smaller than its completely bounded norm. More precisely, for each suc…
Fuglede theorem for symmetric spaces of -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…
Peller's problem concerning Koplienko-Neidhardt trace formulae: the unitary case
Clément Coine, Christian Le Merdy, Denis Potapov +2
We prove the existence of a complex valued -function on the unit circle, a unitary operator U and a self-adjoint operator Z in the Hilbert-Schmidt class , such that the p…
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 of two copies of the Hilbert-Schmidt classes into the trac…
Operator Lipschitz functions on Banach spaces
Jan Rozendaal, Fedor Sukochev, Anna Tomskova
Let , be Banach spaces and let be the space of bounded linear operators from to . We develop the theory of double operator integrals on $\mathcal{L…
(E,F)-multipliers and applications
Fedor Sukochev, Anna Tomskova
For two given symmetric sequence spaces and we study the -multiplier space, that is the space all of matrices for which the Schur product maps into…