C. le Merdy

activity

20102026

most citedMaximal theorems and square functions for analytic operators on Lp-spaces

36 citations · 47 across the 21 of their papers we have counts for

collaborators

Showing 2024Show all

4 papers · 1 filter

math.FA2024

Commuting families of polygonal type operators on Hilbert space

Christian Le Merdy, M. N. Reshmi

Let $T : H \to H$ be a bounded operator on Hilbert space. We say that $T$ has a polygonal type if there exists an open convex polygon $Δ \subset D$ , with $\overlineΔ\ca…

math.OA2024★ 3 cited

Absolute dilations of ucp self-adjoint Fourier multipliers: the non unimodular case

Charles Duquet, Christian Le Merdy

Let $φ$ be a normal semi-finite faithful weight on a von Neumann algebra $A$ ,let $(σ_{r}^{φ})_{r \in R}$ denote the modular automorphism group of $φ$ , and let $T : A \to A$ …

math.OA2024

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

math.FA2024

A new approach to $γ$ -bounded representations

Christian Le Merdy

Let $X$ be a Banach space, let $(Ω, μ)$ be a $σ$ -finite measure space and let $A, B : Ω \to B (X)$ be strongly measurable $γ$ -bounded functions. We show that for all $x \in X$ and al…

Commuting families of polygonal type operators on Hilbert space

Absolute dilations of ucp self-adjoint Fourier multipliers: the non unimodular case

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

A new approach to γ-bounded representations

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

A new approach to $γ$ -bounded representations