Observación sobre los teoremas de tipo Hahn-Banach.
On a question of H.H. Corson and some related problems
On barycentrs in non-compact sets
On boundedly-convex functions on pseudo-topological vector spaces.
On complex -predual spaces.
On De Blasi's differentiation theory for multifunctions
On equilibrium point in topological vector spaces
On maximizing measures of homeomorphisms on compact manifolds
We prove that given a compact n-dimensional connected Riemannian manifold X and a continuous function g: X → ℝ, there exists a dense subset of the space of homeomorphisms of X such that for all T in this subset, the integral , considered as a function on the space of all T-invariant Borel probability measures μ, attains its maximum on a measure supported on a periodic orbit.
On M-ideals and the Alfsen-Effros structure topology.
On minimal points
On necessary conditions of optimality in linear spaces
On nonseperable simplex spaces.
On Primary Simplex Spaces.
On some aspects of Jensen-Menger convexity.
The paper contains various results concerning the so-called homogeneity sets for convex functions defined on convex subsets of some special metric spaces named G-space (cf. H. Busemann [1]). A closed graph theorem for such type mappings is also presented.
On some convex stes and their exteme points.
On some geometric properties concerning closed convex sets.
In this article, we consider the (weak) drop property, weak property (a), and property (w) for closed convex sets. Here we give some relations between those properties. Particularly, we prove that C has (weak) property (a) if and only if the subdifferential mapping of Cº is (n-n) (respectively, (n-w)) upper semicontinuous and (weak) compact valued. This gives an extension of a theorem of Giles and the first author.
On some problems of Choquet theory connected with potential theory
On the Banach-Mazur distance between continuous function spaces with scattered boundaries
We study the dependence of the Banach-Mazur distance between two subspaces of vector-valued continuous functions on the scattered structure of their boundaries. In the spirit of a result of Y. Gordon (1970), we show that the constant appearing in the Amir-Cambern theorem may be replaced by for some class of subspaces. We achieve this by showing that the Banach-Mazur distance of two function spaces is at least 3, if the height of the set of weak peak points of one of the spaces differs from the...
On the Choquet and Bishop-de Leeuw theorems
On the differentiation of convex functions in finite and infinite dimensional spaces