Recognizing the topology of the space of closed convex subsets of a Banach space
Relative Commutants in Compact Convex Sets and Banach Spaces.
Remark on the Abstract Dirichlet Problem for Baire-One Functions
We study the possibility of extending any bounded Baire-one function on the set of extreme points of a compact convex set to an affine Baire-one function and related questions. We give complete solutions to these questions within a class of Choquet simplices introduced by P. J. Stacey (1979). In particular we get an example of a Choquet simplex such that its set of extreme points is not Borel but any bounded Baire-one function on the set of extreme points can be extended to an affine Baire-one function....
Remarks on delta-convex functions
Remarks on weakly KKM maps in abstract convex spaces.
Renorming Concerning Mazur's Intersection Property of Balls for Weakly Compact Convex Sets.
Représentation des mesures coniques.
Représentations intégrales dans les cônes convexes conucléaires et applications
Rotundity and smoothness of convex bodies in reflexive and nonreflexive spaces
For combining two convex bodies C and D to produce a third body, two of the most important ways are the operation ∓ of forming the closure of the vector sum C+D and the operation γ̅ of forming the closure of the convex hull of C ⋃ D. When the containing normed linear space X is reflexive, it follows from weak compactness that the vector sum and the convex hull are already closed, and from this it follows that the class of all rotund bodies in X is stable with respect to the operation ∓ and the class...