Showing math.FAShow all
3 papers · 1 filter
math.FA2025
Range strongly exposing operators between Banach spaces
Geunsu Choi, Helena del Río, Audrey Fovelle +2
We introduce a new class of bounded linear operators, called range strongly exposing (RSE) operators, which form a natural intermediate class: weaker than Bourgain's absolutely str…
math.FA2024
Norm attaining operators into locally asymptotically midpoint uniformly convex Banach spaces
Audrey Fovelle
We prove that if is a locally asymptotically midpoint uniformly convex Banach space which has either a normalized, symmetric basic sequence that is not equivalent to the unit v…
math.FA2023
Asymptotic smoothness, concentration properties in Banach spaces and applications
Audrey Fovelle
We prove an optimal result of stability under -sums of some concentration properties for Lipschitz maps defined on Hamming graphs into Banach spaces. As an application, we…