4 papers
Isometric rigidity and Fraïssé properties of Orlicz sequence spaces
Noé de Rancourt, Micheline Fakhoury
We provide an approximate version of a rigidity result by Randrianantoanina: for a large class of Orlicz sequence spaces, almost isometric embeddings almost preserve disjointness.…
Tingley's problem for Schreier spaces and their -convexifications
Micheline Fakhoury
We describe the surjective isometries of the unit sphere of real Schreier spaces of all orders and their -convexifications, for . This description allows us to p…
Isometries of -convexified combinatorial Banach spaces
Micheline Fakhoury
We show that if , then any isometry of the -convexification of the combinatorial Banach space associated with a hereditary family of finite subsets of $\mathbb…
Plasticity of the unit ball of some spaces
Micheline Fakhoury
We show that if is a compact metrizable space with finitely many accumulation points, then the closed unit ball of is a plastic metric space, which means that any non-ex…