Displaying similar documents to “Norms that generate the same Wijsman topology on convex sets.”

Stability of Supporting and Exposing Elements of Convex Sets in Banach Spaces

Azé, D., Lucchetti, R. (1996)

Serdica Mathematical Journal

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* This work was supported by the CNR while the author was visiting the University of Milan. To a convex set in a Banach space we associate a convex function (the separating function), whose subdifferential provides useful information on the nature of the supporting and exposed points of the convex set. These points are shown to be also connected to the solutions of a minimization problem involving the separating function. We investigate some relevant properties of this function...

Locally convex topologies in linear orthogonality spaces

Jerzy Kąkol, Pekka Sorjonen (1991)

Commentationes Mathematicae Universitatis Carolinae

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In this paper, we investigate the existence and characterizations of locally convex topologies in a linear orthogonality space.