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Manuel Valdivia (1972)
Annales de l'institut Fourier
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If 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 . The same result is obtained replacing “barrelled” by “quasi-barrelled”.
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.
Valdivia, M. (1981)
Portugaliae mathematica
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Luis Manuel Sánchez Ruiz (1992)
Extracta Mathematicae
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Sánchez Ruiz, L.M., López Pellicer, M. (1991)
Portugaliae mathematica
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Stojan Radenović (1986)
Publications de l'Institut Mathématique
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Teixeira Balbi, Marilene (1987)
Portugaliae mathematica
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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. ...