2 papers
math.FA2025
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…
math.FA2024
Continuous operators from spaces of Lipschitz functions
Christian Bargetz, Jerzy KÄ kol, 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…