C. le Merdy

collaborators

3 papers

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.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

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 $T : A \to A$ …