1 citations · 2 across the 4 of their papers we have counts for
5 papers
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…
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…
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…
Asymptotic smoothness in Banach spaces, three space properties and applications
R. M. Causey, A. Fovelle, G. Lancien
We study four asymptotic smoothness properties of Banach spaces, denoted and . We complete their description by proving the…
Hamming graphs and concentration properties in non-quasi-reflexive Banach spaces
Audrey Fovelle
In this note, we study some concentration properties for Lipschitz maps defined on Hamming graphs, as well as their stability under sums of Banach spaces. As an application, we ext…