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math.FA2021
Extremal structure in ultrapowers of Banach spaces
Luis C. García-Lirola, Guillaume Grelier, Abraham Rueda Zoca
Given a bounded convex subset of a Banach space and a free ultrafilter , we study which points are extreme points of the ultrapower $C_\mathc…
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…