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
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…
math.FA2021
On uniformly convex functions
Guillaume Grelier, Matías Raja
Non-convex functions that yet satisfy a condition of uniform convexity for non-close points can arise in discrete constructions. We prove that this sort of discrete uniform convexi…