C. Merdy

activity

19992025

most citedSolution of a problem of Peller concerning similarity

12 citations · 15 across the 10 of their papers we have counts for

collaborators

13 papers

math.OA2025

Absolute dilation of Fourier multipliers

Christian Le Merdy, Safoura Zadeh

Let $M$ be a von Neumann algebra equipped with a normal semifinite faithful (nsf) trace. We say that an operator $T : M \to M$ is absolutely dilatabl…

math.OA2020

On factorization of separating maps on noncommutative $L^{p}$ -spaces

Christian Le Merdy, Safoura Zadeh

For any semifinite von Neumann algebra $M$ and any $1 \leq p < \infty$ , we introduce a natutal $S^{1}$ -valued noncommutative $L^{p}$ -space $L^{p} (M; S^{1})$ . We say that…

math.OA2019

Bilinear operator multipliers into the trace class

Christian Le Merdy, Ivan G. Todorov, Lyudmila Turowska

Given Hilbert spaces $H_{1}, H_{2}, H_{3}$ , we consider bilinear maps defined on the cartesian product $S^{2} (H_{2}, H_{3}) \times S^{2} (H_{1}, H_{2})$ of spaces of Hilbert-Schmidt operators and valued i…

math.FA2019

$H^{\infty}$ -functional calculus for commuting families of Ritt operators and sectorial operators

Olivier Arrigoni, Christian Le Merdy

We introduce and investigate $H^{\infty}$ -functional calculus for commuting finite families of Ritt operators on Banach space $X$ . We show that if either $X$ is a Banach lattice or $…

math.FA2017

The Ritt property of subordinated operators in the group case

Florence Lancien, Christian Le Merdy

Let $G$ be a locally compact abelian group, let $ν$ be a regular probability measure on $G$ , let $X$ be a Banach space, let $π : G \to B (X)$ be a bounded strongly continuous rep…

math.FA2013

On functional calculus properties of Ritt operators