47 citations · 181 across the 30 of their papers we have counts for
20 papers · 1 filter
Invariant pointwise closed subspaces of Lipschitz spaces and their preduals
Michal Doucha
Motivated by both the research on Lipschitz-free spaces and on Lipschitz harmonic functions on graphs, we study invariant pointwise closed subspaces of spaces of Lipschitz function…
Group equivariant Radon-Nikodým property and its characterizations
Sheldon Dantas, Michal Doucha, Mingu Jung +1
We introduce and study equivariant versions of the Radon-Nikodým property for Banach spaces, together with the closely related notions such as dentability, the Bishop-Phelps and Kr…
Invariant strictly convex renormings
Michal Doucha
Motivated by the question of Mikael de la Salle, we investigate the problem of the existence of equivalent strictly convex norms on Banach spaces that are invariant with respect to…
Guarded Fraïssé Banach spaces
Marek Cúth, Noé de Rancourt, Michal Doucha
We characterize separable Banach spaces having isometry classes in the Polish codings , and introduced by Cúth-Doležal-Doucha-…
Isometries of Lipschitz-free Banach spaces
Marek Cúth, Michal Doucha, Tamás Titkos
We describe surjective linear isometries and linear isometry groups of a large class of Lipschitz-free spaces that includes e.g. Lipschitz-free spaces over any graph. We define the…
Polish spaces of Banach spaces. Complexity of isometry and isomorphism classes
Marek Cúth, Martin Doležal, Michal Doucha +1
We study the complexities of isometry and isomorphism classes of separable Banach spaces in the Polish spaces of Banach spaces recently introduced and investigated by the authors i…