Representations of topological algebras by projective limits.
Abel, Mati (2010)
Annals of Functional Analysis (AFA) [electronic only]
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Abel, Mati (2010)
Annals of Functional Analysis (AFA) [electronic only]
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M. Wojciechowski, W. Żelazko (1997)
Colloquium Mathematicae
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Zoran Kadelburg, Stojan Radenović (1996)
Commentationes Mathematicae Universitatis Carolinae
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We examine the so-called three-space-stability for some classes of linear topological and locally convex spaces for which this problem has not been investigated.
Tsertos, Y. (2010)
Banach Journal of Mathematical Analysis [electronic only]
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Athanasios Katsaras (2008)
Annales mathématiques Blaise Pascal
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Properties of the so called -complete topological spaces are investigated. Also, necessary and sufficient conditions are given so that the space of all continuous functions, from a zero-dimensional topological space to a non-Archimedean locally convex space , equipped with the topology of uniform convergence on the compact subsets of to be polarly barrelled or polarly quasi-barrelled.
Carlos Borges (1991)
Colloquium Mathematicae
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C. M. Eoff (1992)
Annales Polonici Mathematici
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The p-envelope of an F-space is the p-convex analogue of the Fréchet envelope. We show that if an F-space is locally bounded (i.e., a quasi-Banach space) with separating dual, then the p-envelope coincides with the Banach envelope only if the space is already locally convex. By contrast, we give examples of F-spaces with are not locally bounded nor locally convex for which the p-envelope and the Fréchet envelope are the same.