Jordan basis for an infinite-dimensional space
On linearly topologized spaces and real-compact spaces - II
On linearly topologized spaces and -spaces
On linearly topologized spaces and real-compact spaces
Some properties of continuous function spaces
Strong barrelledness properties in Lebesgue-Bochner spaces.
Clases de tonelación y medidas acotadas.
Strong barrelledness properties in l ... 0 (X, A) and bounded finite additive measures.
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About an example of a Banach space not weaky K-analytic.
On the ideal of all subsets on N of ddensity zero
In this note we obtainsome strong barrelledness properties concerning the simple function space generated by the hereditary ring Z of a11 subsets of density zero of N.
Barreled spaces of class n and of class X.
Inmersión en espacios cuasiseudométricos y cuasiuniformes.
Una caracterización de los espacios topológicos de Moore.
Una propiedad de M. Valdivia, espacios de tipo (L) y condiciones débiles de tonelación.
On a result of Adasch and Ernst.
Metrizability of precompact sets: an elementary proof.
Proporcionamos una demostración muy corta de un teorema de Cascales-Orihuela que establece que todo conjunto precompacto de un espacio localmente convexo de la clase G (en el sentido de Cascales-Orihuela) es metrizable.
Pták homomorphism theorem revisited
Rodrigues’ extension (1989) of the classical Pták’s homomorphism theorem to a non-necessarily locally convex setting stated that a nearly semi-open mapping between a semi-B-complete space and an arbitrary topological vector space is semi-open. In this paper we study this extension and, as a consequence of the results obtained, provide an improvement of Pták’s homomorphism theorem.
A revised closed graph theorem for quasi-Suslin spaces
Some results about the continuity of special linear maps between -spaces recently obtained by Drewnowski have motivated us to revise a closed graph theorem for quasi-Suslin spaces due to Valdivia. We extend Valdivia’s theorem by showing that a linear map with closed graph from a Baire tvs into a tvs admitting a relatively countably compact resolution is continuous. This also applies to extend a result of De Wilde and Sunyach. A topological space is said to have a (relatively countably) compact...
Topologías fuertes en espacios linealmente topologizados de funciones continuas.
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