C. Merdy

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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…

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

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