Key points are not available for this paper at this time.
We describe surjective linear isometries and linear isometry groups of a large class of Lipschitz-free spaces that includes e. g. Lipschitz-free spaces over any graph. We define the notion of a Lipschitz-free rigid metric space whose Lipschitz-free space only admits surjective linear isometries coming from surjective dilations (i. e. rescaled isometries) of the metric space itself. We show this class of metric spaces is surprisingly rich and contains all 3-connected graphs as well as geometric examples such as non-abelian Carnot groups with horizontally strictly convex norms. We prove that every metric space isometrically embeds into a Lipschitz-free rigid space that has only three more points.
Building similarity graph...
Analyzing shared references across papers
Loading...
Cúth et al. (Tue,) studied this question.
synapsesocial.com/papers/68e796c9b6db643587707627 — DOI: https://doi.org/10.48550/arxiv.2402.08266
Marek Cúth
Charles University
Michal Doucha
Czech Academy of Sciences, Institute of Mathematics
Tamás Titkos
Eötvös Loránd University
Building similarity graph...
Analyzing shared references across papers
Loading...