2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/60811Let 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.10 pages, LaTeX, no figuresFunctional AnalysisGeneral Topology47B38 (Primary) 54D65, 46J10 (Secondary)text