RT Journal Article
T1 Lipschitz-type functions on metric spaces
A1 Garrido, M. Isabel
A1 Jaramillo Aguado, Jesús Ángel
AB 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.
PB Academic Press- Elsevier Science
SN 0022-247X
YR 2008
FD 2008-04-01
LK https://hdl.handle.net/20.500.14352/50100
UL https://hdl.handle.net/20.500.14352/50100
LA eng
NO MTM2006-03531 ; MTM2004-07665-C02-02 (Spain)
DS Docta Complutense
RD 21 abr 2025