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 |
Acceso al artículo completo |