Arafat Abbar

collaborators

3 papers

math.FA2021

Compact and weakly compact Lipschitz operators

Arafat Abbar, Clément Coine, Colin Petitjean

Any Lipschitz map $f : M \to N$ between two pointed metric spaces may be extended in a unique way to a bounded linear operator $f : F (M) \to F (N)$ betwe…

math.FA2020

On the dynamics of Lipschitz operators

Arafat Abbar, Clément Coine, Colin Petitjean

By the linearization property of Lipschitz-free spaces, any Lipschitz map $f : M \to N$ between two pointed metric spaces may be extended uniquely to a bounded linear operator $\wi…

math.FA2020

$Γ$ -supercyclicity of families of translates in weighted $L^{p}$ -spaces on locally compact groups

Arafat Abbar, Yulia Kuznetsova

Let $ω$ be a weight function defined on a locally compact group $G$ , $1 \leq p < + \infty$ , $S \subset G$ and let us assume that for any $s \in S$ , the left translation operator $T_{s}$ is…

Compact and weakly compact Lipschitz operators

On the dynamics of Lipschitz operators

Γ-supercyclicity of families of translates in weighted Lp-spaces on locally compact groups

$Γ$ -supercyclicity of families of translates in weighted $L^{p}$ -spaces on locally compact groups