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
Baire classes of affine vector-valued functions
We investigate Baire classes of strongly affine mappings with values in Fréchet spaces. We show, in particular, that the validity of the vector-valued Mokobodzki result on affine functions of the first Baire class is related to the approximation property of the range space. We further extend several results known for scalar functions on Choquet simplices or on dual balls of L₁-preduals to the vector-valued case. This concerns, in particular, affine classes of strongly affine Baire mappings, the...
Banach spaces which are semi-L-summands in their biduals.
Barycenters, Extreme Points, and Strongly Extreme Points.