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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...

Solidity in sequence spaces.

I. J. Maddox (1991)

Revista Matemática de la Universidad Complutense de Madrid

Relations are established between several notions of solidity in vector-valued sequence spaces, and a generalized Köthe-Toeplitz dual space is introduced in the setting of a Banach algebra.

Strong duals of projective limits of (LB)-spaces

J. Bonet, Susanne Dierolf, J. Wengenroth (2002)

Czechoslovak Mathematical Journal

We investigate the problem when the strong dual of a projective limit of (LB)-spaces coincides with the inductive limit of the strong duals. It is well-known that the answer is affirmative for spectra of Banach spaces if the projective limit is a quasinormable Fréchet space. In that case, the spectrum satisfies a certain condition which is called “strong P-type”. We provide an example which shows that strong P-type in general does not imply that the strong dual of the projective limit is the inductive...

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