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math.FA2023
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…
math.FA2023
Ergodicity and super weak compactness
Guillaume Grelier, Matías Raja
We prove that a closed convex subset of a Banach space is (super-)weakly compact if and only if it is (super)-ergodic. As a consequence we deduce that super weakly compact sets are…
math.FA2023
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…