Christian Le Merdy

collaborators

4 papers

math.OA2026

Positive isometric Fourier multipliers on non-commutative $L^{p}$ -spaces

Christoph Kriegler, Christian Le Merdy, Safoura Zadeh

For a locally compact group $G$, let $\mathcal{L}G$ denote its left group von Neumann algebra and let $L^p(\mathcal{L}G)$, $1 \le p \le \infty$, be the corresponding non-co…

math.FA2025

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 $I^ \subset D$ , with $\overlineÎ\…

math.OA2025

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

Charles Duquet, Christian Le Merdy

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

math.FA2025

Polygonal functional calculus for operators with finite peripheral spectrum

Oualid Bouabdillah, Christian Le Merdy

Let $T : X \to X$ be a bounded operator on Banach space, whose spectrum $I ¨ (T)$ is included in the closed unit disc $D$ . Assume that the peripheral spectrum $…

Positive isometric Fourier multipliers on non-commutative Lp-spaces

Commuting families of polygonal type operators on Hilbert space

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

Polygonal functional calculus for operators with finite peripheral spectrum

Positive isometric Fourier multipliers on non-commutative $L^{p}$ -spaces