26 citations · 76 across the 23 of their papers we have counts for
24 papers
Some observations on transitivity of Lipschitz operators
Christian Bargetz, Leon Kügler
The universal property of the Lipschitz-free spaces allows for the linearisation of a base point preserving Lipschitz map to a bounded linear operator $T_f\colon \…
On extremal nonexpansive mappings
Christian Bargetz, Michael Dymond, Katriin Pirk
We study the extremality of nonexpansive mappings on a nonempty bounded closed and convex subset of a normed space (therein specific Banach spaces). We show that surjective isometr…
Continuous operators from spaces of Lipschitz functions
Christian Bargetz, Jerzy Kąkol, Damian Sobota
We study the existence of continuous (linear) operators from the Banach spaces $\mbox{Lip}_0(M)$ of Lipschitz functions on infinite metric spaces vanishing at a distinguished p…
Tilings of the Hyperbolic Space and Lipschitz Functions
Christian Bargetz, Franz Luggin, Tommaso Russo
We use a special tiling for the hyperbolic -space for to construct an (almost) explicit isomorphism between the Lipschitz-free space $\mathcal{F}(\mathb…
Observations on the metric projection in finite dimensional Banach spaces
Christian Bargetz, Franz Luggin
We consider the method of alternating (metric) projections for pairs of linear subspaces of finite dimensional Banach spaces. We investigate the size of the set of points for which…
Homogeneous isosceles-free spaces
Christian Bargetz, Adam Bartoš, Wiesław Kubiś +1
We study homogeneity aspects of metric spaces in which all triples of distinct points admit pairwise different distances; such spaces are called isosceles-free. In particular, we c…