Displaying similar documents to “On completions of LB-spaces of Moscatelli type.”

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.

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.

Strong proximinality and polyhedral spaces.

Gilles Godefroy, V. Indumathi (2001)

Revista Matemática Complutense

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In any dual space X*, the set QP of quasi-polyhedral points is contained in the set SSD of points of strong subdifferentiability of the norm which is itself contained in the set NA of norm attaining functionals. We show that NA and SSD coincide if and only if every proximinal hyperplane of X is strongly proximinal, and that if QP and NA coincide then every finite codimensional proximinal subspace of X is strongly proximinal. Natural examples and applications are provided.