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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
Applications of the quantification of super weak compactness
Guillaume Grelier, Matías Raja
We introduce a measure of super weak noncompactness defined for bounded linear operators and subsets in Banach spaces that allows to state and prove a characterization of the B…