TY - JOUR AU - Garrido, M. Isabel AU - Jaramillo Aguado, Jesús Ángel PY - 2000 DO - 10.1007/s006050070008 SN - 0026-9255 UR - https://hdl.handle.net/20.500.14352/57329 T2 - Monatshefte für Mathematik 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. LA - eng M2 - 189 PB - Springer-Verlag KW - Uniformly continuous real functions KW - lattice homomorphisms KW - Banach-Stone theorems TI - A Banach-Stone theorem for uniformly continuous functions TY - journal article VL - 131 ER -