Franz Luggin

activity

20232025

collaborators

4 papers

math.FA2025

Isometric Representation of Lipschitz-Free Spaces over Connected Orientable Riemannian Manifolds

Franz Luggin

We show that the Lipschitz-Free Space over a connected orientable $n$ -di\-men\-sio\-nal Riemannian manifold $M$ is isometrically isomorphic to a quotient of $L^{1} (M, T M)$ , the integr…

math.FA2024

Tilings of the Hyperbolic Space and Lipschitz Functions

Christian Bargetz, Franz Luggin, Tommaso Russo

We use a special tiling for the hyperbolic $d$ -space $H^{d}$ for $d = 2, 3, 4$ to construct an (almost) explicit isomorphism between the Lipschitz-free space $\mathcal{F}(\mathb…

math.FA2023

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…

math.LO2023

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…