On locally convex topologies in sequence spaces.

Autores: Manuel Tort Pinilla
Localización: Stochastica: revista de matemática pura y aplicada, ISSN 0210-7821, Vol. 1, Nº. 1, 1975, págs. 19-48
Idioma: inglés
Títulos paralelos:
- Sobre topologías localmente convexas en espacios de sucesiones.
Enlaces
- Texto completo (pdf)
Resumen
- 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 a-dual of a sequence space that are continuous for a locally convex topology on this space.