RT Journal Article
T1 Generation of uniformly closed algebras of functions
A1 Garrido Carballo, María Isabel
A1 Montalvo, Francisco
AB For a linear sublattice F of C( X), the set of all real continuous functions on the completely regular space X, we denote by A( F) the smallest uniformly closed and inverse-closed subalgebra of C( X) that contains F. In this paper we study different methods to generate A( F) from F. For that, we introduce some families of functions which are defined in terms of suprema or sums of certain countably many functions in F. And we prove that A( F) is the uniform closure of each of these families. We obtain, in particular, a generalization of a known result about the generation of A( F) when F is a uniformly closed linear sublattice of bounded functions.
PB Springer
SN 1385-1292
YR 2005
FD 2005
LK https://hdl.handle.net/20.500.14352/49984
UL https://hdl.handle.net/20.500.14352/49984
LA eng
NO Garrido, M. Isabel, y Francisco Montalvo. «Generation of Uniformly Closed Algebras of Functions». Positivity, vol. 9, n.o 1, marzo de 2005, pp. 81-95. DOI.org (Crossref), https://doi.org/10.1007/s11117-003-8543-y.
NO We would like to thank the referee for his/her useful suggestions. Research(M.I.G.) partially supported by DGES grants PB96-1262 and BFM2000-060. Research (F.M.) partially supported by DGES grant PB96-1262
NO Dirección General de Planificación y Gestión Educativa (España)
DS Docta Complutense
RD 14 dic 2025