3 papers
math.MG2026
A Weak Topology on Metric Spaces
Armando W. Gutiérrez, Olavi Nevanlinna
We use metric functionals to construct a topology on metric spaces that induces -weak convergence. We show that this topology is invariant under surjective isometries and charac…
math.FA2025
Metric functionals and weak convergence
Armando W. Gutiérrez, Olavi Nevanlinna
We introduce a notion of weak convergence in arbitrary metric spaces. Metric functionals are key in our analysis: weak convergence of sequences in a given metric space is tested ag…
math.FA2024
Subinvariant metric functionals for nonexpansive mappings
Armando W. Gutiérrez, Olavi Nevanlinna
We investigate the existence of subinvariant metric functionals for commuting families of nonexpansive mappings in noncompact subsets of Banach spaces. Our findings underscore the…