Garrido Carballo, María IsabelMontalvo, Francisco2023-06-202023-06-202005Garrido, 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.1385-129210.1007/s11117-003-8543-yhttps://hdl.handle.net/20.500.14352/49984We 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 PB96-1262For 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.engjournal articlehttps://doi.org/10.1007/s11117-003-8543-yhttp://www.springerlink.comhttp://www.springerlink.com/content/t558361nx4u0v441/restricted access515.1517.98Continuous functionslatticesalgebrasinverse-closeduniformly closed2-finite coversAnálisis funcional y teoría de operadoresTopología1210 Topología