Clément Coine

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20202026

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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.FA2023

A pre-adjoint approach on weighted composition operators between spaces of Lipschitz functions

Arafat Abbar, Clément Coine, Colin Petitjean

We consider weighted composition operators, that is operators of the type $g \mapsto w \cdot g \circ f$ , acting on spaces of Lipschitz functions. Bounded weighted composition opera…