Displaying similar documents to “The space of countably simple bounded functions with values in a DF-space.”

On suprabarrelledness of c (Ω, X).

Manuel López Pellicer, Salvador Moll (2003)

RACSAM

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Si Ω­ es un conjunto no vacío y X es un espacio normado real o complejo, se tiene que, con la norma supremo, el espacio c0 (Ω, X) formado por las funciones f : Ω­ → X tales que para cada ε > 0 el conjunto {ω ∈ Ω­ : || f(ω) || > ε} es finito es supratonelado si y sólo si X es supratonelado.

On the ideal of all subsets on N of ddensity zero

J.C. Ferrando, M. López Pellicer (1998)

Revista de la Real Academia de Ciencias Exactas Físicas y Naturales

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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.

Absolutely convex sets in barrelled spaces

Manuel Valdivia (1971)

Annales de l'institut Fourier

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If { A n } is an increasing sequence of absolutely convex sets, in a barrelled space E , such that n = 1 A n = E , it is deduced some properties of E from the properties of the sets of { A n } . It is shown that in a barrelled space any subspace of infinite countable codimension, is barrelled.

The density condition and the strong dual density condition by operator.

Wolf-Dieter Heinrichs (1997)

Collectanea Mathematica

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The aim of the present article is to introduce and investigate topological properties by operator. We obtain good stability properties for the density condition and the strong dual density condition by taking injective tensor products. Further we analyze the connection to (DF)-properties by operator.

On B r -completeness

Manuel Valdivia (1975)

Annales de l'institut Fourier

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In this paper it is proved that if { E n } n = 1 and { F n } n = 1 are two sequences of infinite-dimensional Banach spaces then H = n = 1 E n × n = 1 F n is not B r -complete. If { E n } n = 1 and { F n } n = 1 are also reflexive spaces there is on H a separated locally convex topology , coarser than the initial one, such that H [ ] is a bornological barrelled space which is not an inductive limit of Baire spaces. It is given also another results on B r -completeness and bornological spaces.