A Banach-Stone theorem for uniformly continuous functions
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2000
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Springer-Verlag
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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.
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.
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Partially supported by DGES grants PB96/1262 and PB96/0607