On the radius of convergence of an entire function in a normed space
On the set of weighted least squares solutions of systems of convex inequalities
On two classes of Banach spaces with uniform normal structure
Points extrémaux d'un simplexe compact métrisable
Points extrémaux et densité.
Polytope in lokalkonvexen Räumen.
Produit tensoriel de deux cônes convexes saillants
Quelques propriétés topologiques des points d'appui d'ensembles convexes
Randomness and pattern in convex geometric analysis.
Relative extreme subsets
Remarks on separation of convex sets, fixed-point theorem, and applications in theory of linear operators.
Représentation des fonctions affines semi-continues inférieurement
Représentation intégrale dans certains convexes
Représentation intégrale dans des sous-espaces de fonctions à valeurs vectorielles
Séparation forte -branlante de deux convexes
Separation of two convex sets by operators
Sets of constant width and diametrically complete setes in normed spaces
Simplices rarely contain their circumcenter in high dimensions
Acute triangles are defined by having all angles less than , and are characterized as the triangles containing their circumcenter in the interior. For simplices of dimension , acuteness is defined by demanding that all dihedral angles between -dimensional faces are smaller than . However, there are, in a practical sense, too few acute simplices in general. This is unfortunate, since the acuteness property provides good qualitative features for finite element methods. The property of acuteness...
Solution to a problem of S. Rolewicz
Some characterization of locally nonconical convex sets
A closed convex set in a local convex topological Hausdorff spaces is called locally nonconical (LNC) if for every there exists an open neighbourhood of such that . A set is local cylindric (LC) if for , , there exists an open neighbourhood of such that (equivalently: ) is a union of open segments parallel to . In this paper we prove that these two notions are equivalent. The properties LNC and LC were investigated in [3], where the implication was proved in general, while...