C. Merdy

collaborators

7 papers

math.OA2026

Pointwise Convergence for Random Ergodic Averages in Non-commutative $L^{p}$ -spaces

Christian Le Merdy, Safoura Zadeh

Let $M$ be a semifinite von Neumann algebra and $T$ a positive contraction on both $L^{1} (M)$ and $L^{\infty} (M)$ . We consider ergodic averages along a random sparse subsequence determ…

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.OA2025

On the extension of positive maps to Haagerup non-commutative $L^{p}$ -spaces

Christian Le Merdy, Safoura Zadeh

Let $M$ be a von Neumann algebra, let $I ¨ $ be a normal faithful state on $M$ and let $L^{p} (M, I ¨ )$ be the associated Haagerup non-commutative $L^{p}$ -spaces, for $1 \leq p \leq \infty$ . L…

math.OA2025

A characterization of absolutely dilatable Schur multipliers

Charles Duquet, Christian Le Merdy

Let $M$ be a von Neumann algebra equipped with a normal semi-finite faithful trace (nsf trace in short) and let $T : M \to M$ be a contraction. We say that $T$ is absolutely dil…

math.FA2025

Hankel operators on $L^{p} (R_{+})$ and their $p$ -completely bounded multipliers

Loris Arnold, Christian Le Merdy, Safoura Zadeh

We show that for any $1 < p < \infty$ , the space $H an k_{p} (R_{+}) \subseteq B (L^{p} (R_{+}))$ of all Hankel operators on $L^{p} (R_{+})$ is equal to the $w^{*}$ -closure of th…

math.FA2025

$S^{1}$ -bounded Fourier multipliers on $H^{1} (R)$ and functional calculus for semigroups

Loris Arnold, Christian Le Merdy, Safoura Zadeh

Let $T : H^{1} (R) \to H^{1} (R)$ be a bounded Fourier multiplier on the analytic Hardy space $H^{1} (R) \subset L^{1} (R)$ and let $m\in L^\infty({\m…

Pointwise Convergence for Random Ergodic Averages in Non-commutative Lp-spaces

Absolute dilation of Fourier multipliers

On the extension of positive maps to Haagerup non-commutative Lp-spaces

A characterization of absolutely dilatable Schur multipliers

Hankel operators on Lp(R+​) and their p-completely bounded multipliers

S1-bounded Fourier multipliers on H1(R) and functional calculus for semigroups

Pointwise Convergence for Random Ergodic Averages in Non-commutative $L^{p}$ -spaces

On the extension of positive maps to Haagerup non-commutative $L^{p}$ -spaces

Hankel operators on $L^{p} (R_{+})$ and their $p$ -completely bounded multipliers

$S^{1}$ -bounded Fourier multipliers on $H^{1} (R)$ and functional calculus for semigroups