Charles Duquet

collaborators

3 papers

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 $T : A \to A$ …

math.FA2023

Unital positive Schur multipliers on $S_{n}^{p}$ with a completely isometric dilation

Charles Duquet

Let $1 < p \neq = 2 < \infty$ and let $S_{n}^{p}$ be the associated Schatten von Neumann class over $n \times n$ matrices. We prove new characterizations of unital positive Schur multipliers $…

math.OA2023

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…

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

Unital positive Schur multipliers on Snp​ with a completely isometric dilation

A characterization of absolutely dilatable Schur multipliers

Unital positive Schur multipliers on $S_{n}^{p}$ with a completely isometric dilation