Displaying similar documents to “On suprabarrelledness of c0 (Ω, X).”

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.

A class of locally convex spaces without 𝒞 -webs

Manuel Valdivia (1982)

Annales de l'institut Fourier

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In this article we give some properties of the tensor product, with the ϵ and π topologies, of two locally convex spaces. As a consequence we prove that the theory of M. de Wilde of the closed graph theorem does not contain the closed graph theorem of L. Schwartz.

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.

Unitary sequences and classes of barrelledness.

Manuel López Pellicer, Salvador Moll (2003)

RACSAM

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It is well known that some dense subspaces of a barrelled space could be not barrelled. Here we prove that dense subspaces of l (Ω, X) are barrelled (unordered Baire-like or p?barrelled) spaces if they have ?enough? subspaces with the considered barrelledness property and if the normed space X has this barrelledness property. These dense subspaces are used in measure theory and its barrelledness is related with some sequences of unitary vectors. ...

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.