3 papers
math.FA2026
On metric characterizations of tree and fragmentability indices of Banach spaces
Estelle Basset, Gilles Lancien, Antonin Procházka
We introduce two ordinal indices that are linear invariants for Banach spaces: the dyadic tree index and the sprawling tree index. We show that they are also bi-Lipschitz invariant…
math.FA2025
Diversity of Lipschitz-free spaces over countable complete discrete metric spaces
Estelle Basset, Gilles Lancien, AntonÃn Procházka
We show that there are uncountably many mutually non-isomorphic Lipschitz-free spaces over countable, complete, discrete metric spaces. Also there is a countable, complete, discret…
math.FA2025
On the weak-fragmentability index of some Lipschitz-free spaces
Estelle Basset
We show the existence of Lipschitz-free spaces verifying the Point of Continuity Property with arbitrarily high weak-fragmentability index. For this purpose, we use a generalized c…