On some density theorems in regular vector lattices of continuous functions.

Título inglés	On some density theorems in regular vector lattices of continuous functions.
Título español	Algunos teoremas de densidad en retículos vectoriales regulares de funciones continuas.
Autor/es	Altomare, Francesco ; Cappelletti Montano, Mirella
Organización	Dip. Mat. Univ. Stud. Bari, Bari, Italia
Revista	0010-0757
Publicación	2007, 58 (2): 131-149, 20 Ref.
Tipo de documento	articulo
Idioma	Inglés
Resumen inglés	In this paper, we establish some density theorems in the setting of particular locally convex vector lattices of continuous functions de ned on a locally compact Hausdorff space, which we introduced and studied in [3,4] and which we named regular vector lattices. In this framework, by using properties of the subspace of the so-called generalized af ne functions, we give a simple description of the closed vector sublattice, the closed Stone vector sublattice and the closed subalgebra generated by a subset of a regular vector lattice. As a consequence, we obtain some density results. Finally, a connection with the Korovkin type approximation theory is also shown.
Clasificación UNESCO	120200
Palabras clave español	Espacios de funciones lineales ; Retículos ; Teorema de Stone-Weierstrass
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