Some results on the duals of the inductive and projective limits of Moscatelli type.
Yolanda Meléndez (1992)
Extracta Mathematicae
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Displaying similar documents to “Dual characterization of the Dieudonné-Schwartz theorem on bounded sets.”
Some results on the duals of the inductive and projective limits of Moscatelli type.
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Sunday Gluyemi (1997)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
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Davis, Henry W., Murray, F.J., Weber, J.K. (1972)
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Stojan Radenović, Zoran Kadelburg (1997)
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Radenović, Stojan (1986)
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Wim H. Schikhof (1984-1985)
Groupe de travail d'analyse ultramétrique
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Strong duals of projective limits of (LB)-spaces
J. Bonet, Susanne Dierolf, J. Wengenroth (2002)
Czechoslovak Mathematical Journal
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We investigate the problem when the strong dual of a projective limit of (LB)-spaces coincides with the inductive limit of the strong duals. It is well-known that the answer is affirmative for spectra of Banach spaces if the projective limit is a quasinormable Fréchet space. In that case, the spectrum satisfies a certain condition which is called “strong P-type”. We provide an example which shows that strong P-type in general does not imply that the strong dual of the projective limit...
On two classes of LF-spaces
Bonet, J., Dierolf, S., Fernández, C. (1992)
Portugaliae mathematica
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Conjugate locally convex spaces IV
Krishnamurthy, V.
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A hereditary property of HM-spaces.
Radenović, Stojan (1984)
Publications de l'Institut Mathématique. Nouvelle Série
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Biduality in (LF)-spaces.
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...