Displaying similar documents to “Regularity, barrelledness and dual strong unions in locally convex spaces.”

Three-space-problem for some classes of linear topological spaces

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.

Continuity properties up to a countable partition.

Aníbal Moltó, José Orihuela, Stanimir Troyanski, Manuel Valdivia (2006)

RACSAM

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Approximation and rigidity properties in renorming constructions are characterized with some classes of simple maps. Those maps describe continuity properties up to a countable partition. The construction of such kind of maps can be done with ideas from the First Lebesgue Theorem. We present new results on the relationship between Kadec and locally uniformly rotund renormability as well as characterizations of the last one with the simple maps used here.

Enlargements of operators between locally convex spaces.

José A. Conejero (2007)

RACSAM

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In this note we study three operators which are canonically associated with a given linear and continuous operator between locally convex spaces. These operators are defined using the spaces of bounded sequences and null sequences. We investigate the relation between them and the original operator concerning properties, like being surjective or a homomorphism.

p-Envelopes of non-locally convex F-spaces

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.

Approximation of holomorphic mappings on infinite dimensional spaces.

Erhan Çaliskan (2004)

Revista Matemática Complutense

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In this article we examine necessary and sufficient conditions for the predual of the space of holomorphic mappings of bounded type, G(U), to have the approximation property and the compact approximation property and we consider when the predual of the space of holomorphic mappings, G(U), has the compact approximation property. We obtain also similar results for the preduals of spaces of m-homogeneous polynomials, Q(E).