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math.FA2026
Invariant subspaces for free linearizations of Lipschitz maps
Clément Coine, Pedro L. Kaufmann, Colin Petitjean +1
We consider the invariant subspace problem for operators induced by Lipschitz self-maps on Lipschitz-free spaces. Besides the usual free linearizations of basepoint-pr…
math.FA2021
Compact and weakly compact Lipschitz operators
Arafat Abbar, Clément Coine, Colin Petitjean
Any Lipschitz map between two pointed metric spaces may be extended in a unique way to a bounded linear operator 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 between two pointed metric spaces may be extended uniquely to a bounded linear operator $\wi…