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Sobre topologías localmente convexas en espacios de sucesiones.

Manuel Tort Pinilla (1975)

Stochastica

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...

Some characterizations of order weakly compact operator

Belmesnaoui Aqzzouz, Aziz Elbour (2011)

Mathematica Bohemica

We introduce the notion of order weakly sequentially continuous lattice operations of a Banach lattice, use it to generalize a result regarding the characterization of order weakly compact operators, and establish its converse. Also, we derive some interesting consequences.

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