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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.
Tort Pinilla, Manuel. "Sobre topologías localmente convexas en espacios de sucesiones.." Stochastica 1.1 (1975): 19-48. <http://eudml.org/doc/38789>.
@article{TortPinilla1975, author = {Tort Pinilla, Manuel}, journal = {Stochastica}, keywords = {Topología localmente convexa; Espacio de sucesiones; locally convex topological sequence spaces; solid topology; normal topology; dual pair; normable; metrizable; Mackey topology; coechelon spaces; alpha-dual; Köthe sequence space}, language = {spa}, number = {1}, pages = {19-48}, title = {Sobre topologías localmente convexas en espacios de sucesiones.}, url = {http://eudml.org/doc/38789}, volume = {1}, year = {1975}, }
TY - JOUR AU - Tort Pinilla, Manuel TI - Sobre topologías localmente convexas en espacios de sucesiones. JO - Stochastica PY - 1975 VL - 1 IS - 1 SP - 19 EP - 48 LA - spa KW - Topología localmente convexa; Espacio de sucesiones; locally convex topological sequence spaces; solid topology; normal topology; dual pair; normable; metrizable; Mackey topology; coechelon spaces; alpha-dual; Köthe sequence space UR - http://eudml.org/doc/38789 ER -