Some aspects of the theory of barreled spaces
Pedro Pérez Carreras (1987)
Časopis pro pěstování matematiky
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Pedro Pérez Carreras (1987)
Časopis pro pěstování matematiky
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Christopher E. Stuart (1996)
Collectanea Mathematica
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Valdivia, M. (1981)
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.
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. ...
J.C. Ferrando, M. López-Pellicer (1989)
Disertaciones Matemáticas del Seminario de Matemáticas Fundamentales
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Kakol J. Poznan (1990)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
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