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Garrido Carballo, María Isabel Jaramillo Aguado, Jesús Ángel 2023-06-20T09:38:41Z 2023-06-20T09:38:41Z 2008-04-01 Garrido, M. Isabel, y Jesús A. Jaramillo. «Lipschitz-Type Functions on Metric Spaces». Journal of Mathematical Analysis and Applications, vol. 340, n.o 1, abril de 2008, pp. 282-90. DOI.org (Crossref), https://doi.org/10.1016/j.jmaa.2007.08.028 0022-247X 10.1016/j.jmaa.2007.08.028 https://hdl.handle.net/20.500.14352/50100 https://doi.org/10.1016/j.jmaa.2007.08.028 http://www.sciencedirect.com/ http://www.sciencedirect.com/science/article/pii/S0022247X0701044X In order to find metric spaces X for which the algebra Lip*(X) of bounded Lipschitz functions on X determines the Lipschitz structure of X, we introduce the class of small-determined spaces. We show that this class includes precompact and quasi-convex metric spaces. We obtain several metric characterizations of this property, as well as some other characterizations given in terms of the uniform approximation and the extension of uniformly continuous functions. In particular we show that X is small-determined if and only if every uniformly continuous real function on X can be uniformly approximated by Lipschitz functions. eng restricted access Lipschitz-type functions on metric spaces journal article