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 |
|---|---|
| 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 11:24 |
| Last Modified: | 14 May 2013 16:40 |
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