Displaying similar documents to “Mackey continuity of characteristic functionals.”

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.

P-adic Spaces of Continuous Functions I

Athanasios Katsaras (2008)

Annales mathématiques Blaise Pascal

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Properties of the so called θ o -complete topological spaces are investigated. Also, necessary and sufficient conditions are given so that the space C ( X , E ) of all continuous functions, from a zero-dimensional topological space X to a non-Archimedean locally convex space E , equipped with the topology of uniform convergence on the compact subsets of X to be polarly barrelled or polarly quasi-barrelled.

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.

On localizing global Pareto solutions in a given convex set

Agnieszka Drwalewska, Lesław Gajek (1999)

Applicationes Mathematicae

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Sufficient conditions are given for the global Pareto solution of the multicriterial optimization problem to be in a given convex subset of the domain. In the case of maximizing real valued-functions, the conditions are sufficient and necessary without any convexity type assumptions imposed on the function. In the case of linearly scalarized vector-valued functions the conditions are sufficient and necessary provided that both the function is concave and the scalarization is increasing...