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

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6 papers · 1 filter

math.OA2026

A Non-commutative Individual Ergodic Theorem Along Sparse Random Subsequences

Léonard Cadilhac, Christian Le Merdy, Safoura Zadeh

Let $(M, τ)$ be a semifinite von Neumann algebra, let $J$ be a trace-preserving Jordan isomorphism, and let $(n_{k})_{k \geq 1}$ be a random increasing sequence of integers obtained by…

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.OA2023★ 1 cited

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.OA2019★ 2 cited

$ℓ^{1}$ -contractive maps on noncommutative $L^{p}$ -spaces

Christian Le Merdy, Safoura Zadeh

Let $T : L^{p} (M) \to L^{p} (N)$ be a bounded operator between two noncommutative $L^{p}$ -spaces, $1 \leq p < \infty$ . We say that $T$ is $ℓ^{1}$ -bounded (resp. $\e…

math.OA2014

Decomposability of bimodule maps

Christian Le Merdy, Lina Oliveira

Consider a unital C*-algebra A, a von Neumann algebra M, a unital sub-C*-algebra C of A and a unital *-homomorphism $π$ from C to M. Let u: A --> M be a decomposable map (i.e. a li…