Displaying similar documents to “When a composition algebra is barrelled?”

On nonbornological barrelled spaces

Manuel Valdivia (1972)

Annales de l'institut Fourier

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If E is the topological product of a non-countable family of barrelled spaces of non-nulle dimension, there exists an infinite number of non-bornological barrelled subspaces of E . The same result is obtained replacing “barrelled” by “quasi-barrelled”.

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.

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. ...