Year: 2025
Type: article
Abstract: We introduce a topometric version of Lipschitz-free spaces and study its universal property. Another aim of this paper is to investigate actions of topological groups G on Lipschitz-free spaces $${\mathcal {F}}(M)$$ F ( M ) , induced by isometric actions on pointed metric spaces M . In particular, we study the associated dynamical G -systems under the weak-star topology, focusing on the dual action on $$\textrm{Lip}_0(M) = {\mathcal {F}}(M)^*$$ Lip 0 ( M ) = F ( M ) ∗ and the bidual $${\mathcal {F}}(M)^{**}$$ F ( M ) ∗ ∗ .
Author: Michael Megrelishvili
Institution: Bar-Ilan University
Language: English
Topic: Advanced Banach Space Theory
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,190
Funder: Bar-Ilan University
OpenAlex ID: W4415228511