Completeness and the open mapping theorem
Vlastimil Pták (1958)
Bulletin de la Société Mathématique de France
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Completeness and the open mapping theorem
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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...