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math.FA2026
On absolutely Cesàro bounded operators
Arafat Abbar, Loris Arnold, Clément Coine
We study -absolutely Cesàro bounded operators, with particular emphasis on self-improvement, weighted shifts, and linear dynamics. Our first main result shows that, for $1<p<\in…
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…