RT Journal Article
T1 Uniform approximation theorems for real-valued continuous functions
A1 Garrido, M. Isabel
A1 Montalvo, Francisco
AB For a topological space X, F(X) denotes the algebra of real-valued functions over X and C(X) the subalgebra of all functions in F(X) which are continuous. In this paper we characterize the uniformly dense linear subspaces of C(X) by means of the so-called "Lebesgue chain condition". This condition is a generalization to the unbounded case of the S-separation by Blasco and Molto for the bounded case. Through the Lebesgue chain condition we also characterize the linear subspaces of F(X) whose uniform closure is closed under composition with uniformly continuous functions.
PB Elsevier Science
SN 0166-8641
YR 1992
FD 1992
LK https://hdl.handle.net/20.500.14352/57333
UL https://hdl.handle.net/20.500.14352/57333
LA eng
DS Docta Complutense
RD 23 abr 2025