On locally convex topologies in sequence spaces.

Manuel Tort Pinilla

Stochastica (1975)

  • Volume: 1, Issue: 1, page 19-48
  • ISSN: 0210-7821

Abstract

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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.

How to cite

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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 -

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