Displaying similar documents to “Three-space-problem for some classes of linear topological spaces”

Some properties of short exact sequences of locally convex Riesz spaces

Stojan Radenović, Zoran Kadelburg (1998)

Commentationes Mathematicae Universitatis Carolinae

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We investigate the stability of some properties of locally convex Riesz spaces in connection with subspaces and quotients and also the corresponding three-space-problems. We show that in the richer structure there are more positive answers than in the category of locally convex spaces.

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.