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math.FA2026
The Ball-Covering Property in Lipschitz-Free Spaces
Ramón J. Aliaga, Colin Petitjean, Antonín Procházka +1
We study ball-covering properties in Lipschitz-free spaces. We establish an extension criterion for proving that fails the ball-covering property and apply it to se…
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.FA2026
Affine Approximation in Finite Nagata Dimension and Applications to Lipschitz-free spaces
Mingu Jung, Colin Petitjean, Antonín Prochazka +1
We show that if is a metric space of Nagata dimension at most , then there exists an atlas on modeled on such that every Lipschitz map (with val…