47 citations · 181 across the 30 of their papers we have counts for
7 papers · 1 filter
Large scale geometry of Banach-Lie groups
Hiroshi Ando, Michal Doucha, Yasumichi Matsuzawa
We initiate the large scale geometric study of Banach-Lie groups, especially of linear Banach-Lie groups. We show that the exponential length, originally introduced by Ringrose for…
Lipschitz algebras and Lipschitz-free spaces over unbounded metric spaces
Fernando Albiac, Jose L. Ansorena, Marek Cuth +1
We present a way to turn an arbitrary (unbounded) metric space into a bounded metric space in such a way that the corresponding Lipschitz-free spaces $\…
On Dual surjunctivity and applications
Michal Doucha, Jakub Gismatullin
We explore the dual version of Gottschalk's conjecture recently introduced by Capobianco, Kari, and Taati, and the notion of dual surjunctivity in general. We show that dual surjun…
Lipschitz free spaces isomorphic to their infinite sums and geometric applications
Fernando Albiac, Jose L. Ansorena, Marek Cuth +1
We find general conditions under which Lipschitz-free spaces over metric spaces are isomorphic to their infinite direct -sum and exhibit several applications. As examples o…
Structure of the Lipschitz free -spaces and for
Fernando Albiac, Jose L. Ansorena, Marek Cuth +1
Our aim in this article is to contribute to the theory of Lipschitz free -spaces for over the Euclidean spaces and . To that end, on one…
Approximation properties in Lipschitz-free spaces over groups
Michal Doucha, Pedro Levit Kaufmann
We study Lipschitz-free spaces over compact and uniformly discrete metric spaces enjoying certain high regularity properties - having group structure with left-invariant metric. Us…