Isometric shifts and metric spaces

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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.
10 pages, LaTeX, no figures

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Functional Analysis, General Topology, 47B38 (Primary) 54D65, 46J10 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/60811

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0101199
 http://arxiv.org/abs/math/0101199

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arXiv