collaborators

3 papers

math.FA2024

Approximative compactness in Böchner spaces

Guillaume Grelier, Jaime San Martín

For any , we prove that the set of simple functions taking at most different values is proximinal in Böchner spaces whenever is a dual Banach spac…

math.FA2024

Uniform Banach-Saks properties

G. Grelier

The principal aim of this paper is to study the Banach-Saks property when the speed of convergence of a Cesaro mean sequence can be chosen independtly from the choice of the initia…

math.FA2024

A note on nonseparable Lipschitz-free spaces

Ramón J. Aliaga, Guillaume Grelier, Antonín Procházka

We prove that several classical Banach space properties are equivalent to separability for the class of Lipschitz-free spaces, including Corson's property (), Talponen…