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math.FA2025
Asymptotic and nonlinear geometries of Banach spaces and their interactions
Florent P. Baudier, Gilles Lancien
This book discusses the interactions between the (nonlinear) metric structure of Banach spaces and their linear asymptotic behavior. The overarching problem is to understand how th…
math.FA2025
Diversity of Lipschitz-free spaces over countable complete discrete metric spaces
Estelle Basset, Gilles Lancien, Antonín 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…