RT Journal Article T1 A Banach-Stone theorem for uniformly continuous functions A1 Garrido Carballo, María Isabel A1 Jaramillo Aguado, Jesús Ángel AB 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. PB Springer-Verlag SN 0026-9255 YR 2000 FD 2000 LK https://hdl.handle.net/20.500.14352/57329 UL https://hdl.handle.net/20.500.14352/57329 LA eng NO Garrido, M. Isabel, y Jesús A. Jaramillo. «A Banach-Stone Theorem for Uniformly Continuous Functions». Monatshefte for Mathematik, vol. 131, n.o 3, diciembre de 2000, pp. 189-92. DOI.org (Crossref), https://doi.org/10.1007/s006050070008. NO Partially supported by DGES grants PB96/1262 and PB96/0607 NO Dirección General de Planificación y Gestión Educativa DS Docta Complutense RD 26 feb 2026