English

Isometric shifts and metric spaces

Functional Analysis 2007-05-23 v1 General Topology

Abstract

Let M be a complete metric space. It is proved that if the space or scalar-valued bounded continuous functions on M admits an isometric shift, then M is separable.

Keywords

Cite

@article{arxiv.math/0101199,
  title  = {Isometric shifts and metric spaces},
  author = {Jesus Araujo and Juan J. Font},
  journal= {arXiv preprint arXiv:math/0101199},
  year   = {2007}
}

Comments

10 pages, LaTeX, no figures

R2 v1 2026-07-22T16:36:58.963Z