8 citations · 13 across the 3 of their papers we have counts for
4 papers
The ergodicity of Orlicz sequence spaces
Noé de Rancourt, Ondřej Kurka
We prove that non-Hilbertian separable Orlicz sequence spaces are ergodic, i.e., the equivalence relation Borel reduces to the isomorphism relation between subspaces…
Complexity of distances: Reductions of distances between metric and Banach spaces
Marek Cúth, Michal Doucha, Ondřej Kurka
We show that all the standard distances from metric geometry and functional analysis, such as Gromov-Hausdorff distance, Banach-Mazur distance, Kadets distance, Lipschitz distance,…
Polish spaces of Banach spaces
Marek Cúth, Martin Doležal, Michal Doucha +1
We present and thoroughly study natural Polish spaces of separable Banach spaces. These spaces are defined as spaces of norms, resp. pseudonorms, on the countable infinite-dimensio…
Tsirelson-like spaces and complexity of classes of Banach spaces
Ondřej Kurka
Employing a construction of Tsirelson-like spaces due to Argyros and Deliyanni, we show that the class of all Banach spaces which are isomorphic to a subspace of is a compl…