3 papers
math.FA2022
Extremal structure of projective tensor products
Luis C. García-Lirola, Guillaume Grelier, Gonzalo Martínez-Cervantes +1
We prove that, given two Banach spaces and and bounded, closed convex sets and , if a nonzero element $z\in \overline{\mathrm{co}}(C\otimes D)\…
math.FA2022
Lipschitz-free spaces, ultraproducts, and finite representability of metric spaces
Luis C. García-Lirola, G. Grelier
We study several properties and applications of the ultrapower of a metric space . We prove that the Lipschitz-free space is finite…
math.FA2022
Injectivity of Lipschitz operators
Luis García-Lirola, Colin Petitjean, Antonin Prochazka
Any Lipschitz map between metric spaces can be "linearised" in such a way that it becomes a bounded linear operator $\widehat{f}\colon \mathcal F(M) \to \mathcal…