Semicontinuity of the Face-Function of a Covex Set
Separation by hyperplanes in finite-dimensional vector spaces over Archimedean ordered fields.
Sets invariant under projections onto one dimensional subspaces
The Hahn–Banach theorem implies that if is a one dimensional subspace of a t.v.s. , and is a circled convex body in , there is a continuous linear projection onto with . We determine the sets which have the property of being invariant under projections onto lines through subject to a weak boundedness type requirement.
Shilov Points and Shilov Boundaries.
Smoothness of a typical convex function
Sobre ciertas clases de conjuntos en espacios localmente convexos.
In this paper we obtain several classes of separated locally convex spaces which are M-spaces. We give also some results on compact convex sets and new characterization of weak compactness.
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...
Some convexity questions arising in statistical mechanics.
Some General Methods for Constructing Stable Convex Sets.
Some notes on convex sets.
Some old and new applications of Choquet theory in potential theory
Some Properties of Convex Sets Related to Fixed Points Theorems*.
Split faces and ideal structure of operator algebras.
Stetigkeitsaussagen Für Eine Klasse Verallgemeinerter Konvexer Funktionen In Topologischen Linearen Räumen
Strictly extreme and strictly exposed points.
Strongly exposed points in the unit ball of trace-class operators.
Strongly Extreme Points in Banach Spaces.
Subdiagonal and almost uniform distributions.
Sur la frontière d'un convexe mobile
Siano , sottoinsiemi convessi, chiusi e limitati di uno spazio normato , con le frontiere , . Dimostriamo che , dove è la metrica di Hausdorff tra sottoinsiemi chiusi di . Studiamo inoltre la continuità e la semicontinuità superiore ed inferiore di una multifunzione di tipo «frontiera».