Enlarging a subspace of C(X) without changing the Choquet boundary.
Epiconvergence and -subgradients of convex functions.
Épluchabilité et unicité du prédual
Existence and integral representation of regular extensions of measures
Let ℒ be a δ-lattice in a set X, and let ν be a measure on a sub-σ-algebra of σ(ℒ). It is shown that ν extends to an ℒ-regular measure on σ(ℒ) provided ν*|ℒ is σ-smooth at ∅ and ν*(L) = inf ν*(U)|X ∖ U ∈ ℒ, Usupset L for all L ∈ ℒ. Moreover, a Choquet type representation theorem is proved for the set of all such extensions.
Existence of open quasiconvex subsets dense in a given space
Extension of linear forms with strict domination on locally compact cones.
Extensions of Two Fixed Point Theorems of Ky Fan.
Extremal solutions of a general marginal problem
The characterization of extremal points of the set of probability measures with given marginals is given in the general context of a marginal system. The sets of marginal uniqueness are studied and an example is added to illustrate the theory.
Extremal Structure of Convex Sets in Spaces Not Containing co.
Extreme and exposed representing measures of the disk algebra
We study the extreme and exposed points of the convex set consisting of representing measures of the disk algebra, supported in the closed unit disk. A boundary point of this set is shown to be extreme (and even exposed) if its support inside the open unit disk consists of two points that do not lie on the same radius of the disk. If its support inside the unit disk consists of 3 or more points, it is very seldom an extreme point. We also give a necessary condition for extreme points to be exposed...
Extreme contractions on certain function spaces
Extreme operators on 2-dimensional -spaces
Extreme points and descriptive sets
A class of closed, bounded, convex sets in the Banach space is shown to be a complete PCA set.
Extreme points in spaces of operators and vector – valued measures
Extreme Points of a Convex Subset of the Cone of Positive Semidefinite Matrices.
Extreme Punkte in der Einheitskugel des Vektorraumes der trigonometrischen Prolynome.