Classes of barrelled spaces related with the closed graph theorem
Valdivia, M. (1981)
Portugaliae mathematica
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Valdivia, M. (1981)
Portugaliae mathematica
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J.C. Ferrando, M. López-Pellicer (1989)
Disertaciones Matemáticas del Seminario de Matemáticas Fundamentales
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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. ...
Pedro Pérez Carreras (1987)
Časopis pro pěstování matematiky
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Yolanda Meléndez (1992)
Extracta Mathematicae
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Baltasar Rodríguez Salinas (1995)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
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Klaus D. Bierstedt, José Bonet (2001)
RACSAM
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En la Sección 1 se pueban resultados abstractos sobre preduales y sobre bidualidad de espacios (LF). Sea E = ind E un espacio (LF), ponemos H = ind H para una sucesión de subespacios de Fréchet H de E con H ⊂ H. Investigamos bajo qué condiciones el espacio E es canónicamente (topológicamente isomorfo a) el bidual inductivo (H')' o (incluso) al bidual fuerte de H. Los resultados abstractos se aplican en la Sección 2, especialmente a espacios (LF) ponderados de funciones holomorfas, pero...
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.