A Note on the Topology Associated with a Local Convex Space
Stojan Radenović (1986)
Publications de l'Institut Mathématique
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Stojan Radenović (1986)
Publications de l'Institut Mathématique
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Radenović, Stojan (1986)
Publications de l'Institut Mathématique. Nouvelle Série
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J. Kakol, W. Sliwa, M. Wójtowicz (1994)
Collectanea Mathematica
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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”.
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. ...
S. Radenović (1984)
Matematički Vesnik
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Manuel Valdivia (1973)
Publications du Département de mathématiques (Lyon)
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Manuel Valdivia (1974/75)
Manuscripta mathematica
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Ferrando, Juan Carlos, Mas, Jose (1990)
Portugaliae mathematica
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Manuel Valdivia (1972)
Annales de l'institut Fourier
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The three following examples are given: a bornological space containing a subspace of infinite countable codimension which is not quasi-barrelled, a quasi-barrelled -space containing a subspace of infinite countable codimension which is not -space, and bornological barrelled space which is not inductive limit of Baire space.