English

Comments on the cosmic convergence of nonexpansive maps

Functional Analysis 2022-06-01 v2 Dynamical Systems Metric Geometry

Abstract

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 result for nonexpansive maps of 1\ell^{1}. We also point out some inaccurate assertions appearing in the literature on this topic.

Keywords

Cite

@article{arxiv.2103.14499,
  title  = {Comments on the cosmic convergence of nonexpansive maps},
  author = {Armando W. Gutiérrez and Anders Karlsson},
  journal= {arXiv preprint arXiv:2103.14499},
  year   = {2022}
}

Comments

The reference list was updated and Remark 3.2 was included in this version

R2 v1 2026-06-24T00:35:23.591Z