12 citations · 12 across the 1 of their papers we have counts for
6 papers
Integral representation and supports of functionals on Lipschitz spaces
Ramón J. Aliaga, Eva Pernecká
We analyze the relationship between Borel measures and continuous linear functionals on the space of Lipschitz functions on a complete metric space . In part…
Topological groups with invariant linear spans
Eva Pernecká, Jan Spěvák
Given a topological group that can be embedded as a topological subgroup into some topological vector space (over the field of reals) we say that has invariant linear span…
Normal functionals on Lipschitz spaces are weak continuous
Ramón J. Aliaga, Eva Pernecká
Let be the space of Lipschitz functions on a complete metric space that vanish at a base point. We show that every normal functional in $\operatorname…
Supports in Lipschitz-free spaces and applications to extremal structure
Ramón J. Aliaga, Eva Pernecká, Colin Petitjean +1
We show that the class of Lipschitz-free spaces over closed subsets of any complete metric space is closed under arbitrary intersections, improving upon the previously known fi…
Supports and extreme points in Lipschitz-free spaces
Ramón J. Aliaga, Eva Pernecká
For a complete metric space , we prove that the finitely supported extreme points of the unit ball of the Lipschitz-free space are precisely the elementary mole…
Lipschitz-free spaces over compact subsets of superreflexive spaces are weakly sequentially complete
Tomasz Kochanek, Eva Pernecká
Let be a compact subset of a superreflexive Banach space. We prove that the Lipschitz-free space , the predual of the Banach space of Lipschitz functions on …