Christian Le Merdy

activity

20132020

collaborators

5 papers

math.OA2020

Surjective separating maps on noncommutative $L^{p}$ -spaces

Christian Le Merdy, Safoura Zadeh

Let $1 \leq p < \infty$ and let $T : L^{p} (M) \to L^{p} (N)$ be a bounded map between noncommutative $L^{p}$ -spaces. If $T$ is bijective and separating (i.e., for an…

math.FA2019

Higher order differentiability of operator functions in Schatten norms

Christian Le Merdy, Anna Skripka

We establish the following results on higher order $S^{p}$ -differentiability, $1 < p < \infty$ , of the operator function arising from a continuous scalar function $f$ and self-…

math.FA2018

New counterexamples on Ritt operators, sectorial operators and R-boundedness

Loris Arnold, Christian Le Merdy

Let $D$ be a Schauder decomposition on some Banach space $X$ . We prove that if $D$ is not $R$ -Schauder, then there exists a Ritt operator $T \in B (X)$ which is a m…

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…

math.FA2013

Alpha-admissibility for Ritt operators