Sobre topologías localmente convexas en espacios de sucesiones.

Título inglés	On locally convex topologies in sequence spaces.
Título español	Sobre topologías localmente convexas en espacios de sucesiones.
Autor/es	Tort Pinilla, Manuel
Organización	Dep. Estad. Mat. Univ. Barcelona, Barcelona, España
Revista	0210-7821
Publicación	1975, 1 (1): 19-48, 0 Ref.
Tipo de documento	articulo
Idioma	Español
Resumen inglés	This paper deals with locally convex topological sequence spaces. We first consider solid topologies in order to obtain some results that will be useful later. The main part of this paper is devoted to a detailed study of the normal topology of a dual pair of sequence spaces. We obtain criterions for this topology to be normable or metrizable, and conditions under which it coincides with the Mackey topology on echelon and coechelon spaces of order p. Finally we use the former results on solid topologies to study the subspace constituted by the elements of the α-dual of a sequence space that are continuous for a locally convex topology on this space.
Clasificación UNESCO	121005
Palabras clave español	Topología localmente convexa ; Espacio de sucesiones
Código MathReviews	MR0430739
Código Z-Math	Zbl 0417.46012
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