Clément Coine

activity

20222024

collaborators

3 papers

math.FA2024

Functions of unitaries with $S^{p}$ -perturbations for non continuously differentiable functions

Clément Coine

Consider a function $f : T \to C$ , $n$ -times differentiable on $T$ and such that its $n$ th derivative $f^{(n)}$ is bounded but not necessarily continuous…

math.FA2023

A note on the spectrum of Lipschitz operators and composition operators on Lipschitz spaces

Arafat Abbar, Clément Coine, Colin Petitjean

Fix a metric space $M$ and let $Lip_{0} (M)$ be the Banach space of complex-valued Lipschitz functions defined on $M$ . A weighted composition operator on $Lip_{0} (M)$ …

math.FA2022

Growth rate of eventually positive Kreiss bounded $C_{0}$ -semigroups on $L^{p}$ and $C (K)$

L. Arnold, C. Coine

In this paper, we compare several Cesàro and Kreiss type boundedness conditions for a $C_{0}$ -semigroup on a Banach space and we show that those conditions are all equivalent for a p…

Functions of unitaries with Sp-perturbations for non continuously differentiable functions

A note on the spectrum of Lipschitz operators and composition operators on Lipschitz spaces

Growth rate of eventually positive Kreiss bounded C0​-semigroups on Lp and C(K)

Functions of unitaries with $S^{p}$ -perturbations for non continuously differentiable functions

Growth rate of eventually positive Kreiss bounded $C_{0}$ -semigroups on $L^{p}$ and $C (K)$