A systematization of convexity concepts for sets and functions.
Absolutely continuous selections from absolutely continuous set valued map
Absolutely convex sets in barrelled spaces
If is an increasing sequence of absolutely convex sets, in a barrelled space , such that , it is deduced some properties of from the properties of the sets of . It is shown that in a barrelled space any subspace of infinite countable codimension, is barrelled.
Acknowledgement of priority: Second derivates of convex functions.
Additivity of the gauge
Affine Baire functions on Choquet simplices
We construct a metrizable simplex X such that for each n ɛ ℕ there exists a bounded function f on ext X of Baire class n that cannot be extended to a strongly affine function of Baire class n. We show that such an example cannot be constructed via the space of harmonic functions.
Affine Flows and Distal Points.
Algèbres de fonctions à orthogonal purement atomique
An application of the Hahn-Banach theorem in convex analysis
An attempt of characterization of functions with sharp weakly complete epigraphs.
An extension of Choquet boundary theory to certain partially ordered compact convex sets
An integral representation of randomized probabilities and its applications
An Intersection Property of Balls and Relations with M-Ideals.
Aproximace a abstraktní hranice
Are EC-spaces AE(metrizable)?
Asymmetric locally convex spaces.
Attractors and a fixed point theorem in locally convex space