Garrido Carballo, M. Isabel and Jaramillo Aguado, Jesús Ángel
(2000)
*A Banach-Stone theorem for uniformly continuous functions.*
Monatshefte für Mathematik, 131
(3).
pp. 189-192.
ISSN 0026-9255

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## Abstract

In this note we prove that the uniformity of a complete metric space X is characterized by the vector lattice structure of the set U(X) of all uniformly continuous real functions on X.

Item Type: | Article |
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Uncontrolled Keywords: | Uniformly continuous real functions; lattice homomorphisms; Banach-Stone theorems |

Subjects: | Sciences > Mathematics > Topology |

ID Code: | 15531 |

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Deposited On: | 08 Jun 2012 09:24 |

Last Modified: | 06 Feb 2014 10:26 |

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