A bipolar theorem for L
A Choquet Ordering and Unique Decompositions in Convex sets of Tight Measures
A compact convex set with no extreme points
A Dini principle for convex functions and the theorem of James
A General Approach to the Notion of Silov Boundary.
A general continuity principle
A "hidden" characterization of approximatively polyhedral convex sets in Banach spaces
A closed convex subset C of a Banach space X is called approximatively polyhedral if for each ε > 0 there is a polyhedral (= intersection of finitely many closed half-spaces) convex set P ⊂ X at Hausdorff distance < ε from C. We characterize approximatively polyhedral convex sets in Banach spaces and apply the characterization to show that a connected component of the space of closed convex subsets of X endowed with the Hausdorff metric is separable if and only if contains a polyhedral convex...
A "hidden" characterization of polyhedral convex sets
We prove that a closed convex subset C of a complete linear metric space X is polyhedral in its closed linear hull if and only if no infinite subset A ⊂ X∖ C can be hidden behind C in the sense that [x,y]∩ C ≠ ∅ for any distinct x,y ∈ A.
A new concept of separation
A new tool in the theory of integral representation.
A new type of affine Borel function.
A noncompact Choquet theorem
A Note on Extreme Positive Definite Matrices.
A note on intersections of simplices
We provide a corrected proof of [1, Théorème 9] stating that any metrizable infinite-dimensional simplex is affinely homeomorphic to the intersection of a decreasing sequence of Bauer simplices.
A Potential-Theoretic Approach to Parallel Addition.
A Re-Examination of the Roberts Example of a Compact Convex Set Without Extreme Points.
A refinement of the Helson-Szegö theorem and the determination of the extremal measures
A remark on Edgar's extremal integral representation theorem
A stability theorem for the choquet-ordering in C...(X).
A study on some new types of Hardy-Hilbert's integral inequality.