38 citations · 84 across the 6 of their papers we have counts for
7 papers · 1 filter
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…
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 …
Approximation and Schur properties for Lipschitz free spaces over compact metric spaces
Petr Hájek, Gilles Lancien, Eva Pernecká
We prove that for any separable Banach space , there exists a compact metric space which is homeomorphic to the Cantor space and whose Lipschitz-free space contains a complement…
On uniformly differentiable mappings from
Petr Hájek, Eva Pernecká
In 1970 Haskell Rosenthal proved that if is a Banach space, is an infinite index set, and is a bounded linear operator such that $\inf_{γ\inΓ}\|T(e_…