3 papers
math.FA2021
Comments on the cosmic convergence of nonexpansive maps
Armando W. Gutiérrez, Anders Karlsson
This note discusses some aspects of the asymptotic behaviour of nonexpansive maps. Using metric functionals, we make a connection to the invariant subspace problem and prove a new…
math.FA2018
On the metric compactification of infinite-dimensional spaces
Armando W. Gutiérrez
The notion of metric compactification was introduced by Gromov and later rediscovered by Rieffel; and has been mainly studied on proper geodesic metric spaces. We present here a ge…
math.MG2017
The horofunction boundary of finite-dimensional spaces
Armando W. Gutiérrez
We give a complete description of the horofunction boundary of finite-dimensional spaces for . We also study the variation norm on $\mathbb{R}^{\mathca…