Extremal units in an archimedean Riesz space
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 Boundaries and continous affine functions.
Extreme cases of weak type interpolation.
We consider quasilinear operators T of joint weak type (a, b; p, q) (in the sense of [2]) and study their properties on spaces Lφ,E with the norm||φ(t) f*(t)||Ê, where Ê is arbitrary rearrangement-invariant space with respect to the measure dt/t. A space Lφ,E is said to be "close" to one of the endpoints of interpolation if the corresponding Boyd index of this space is equal to 1/a or to 1/p. For all possible kinds of such "closeness", we give sharp estimates for the function ψ(t) so as to obtain...
Extreme compact operators from Orlicz spaces to
Let be the subspace of finite elements of an Orlicz space endowed with the Luxemburg norm. The main theorem says that a compact linear operator is extreme if and only if on a dense subset of , where is a compact Hausdorff topological space and . This is done via the description of the extreme points of the space of continuous functions , being an Orlicz space equipped with the Orlicz norm (conjugate to the Luxemburg one). There is also given a theorem on closedness of the set of extreme...
Extreme Contraction Operators on l...
Extreme contractions on certain function spaces
Extreme contractions on C(X) and
Extreme extensions of positive operators
Extreme extensions of positive operators, II
Extreme norms on
Extreme operators on 2-dimensional -spaces
Extreme operators on AL-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 and rotundity in Musielak-Orlicz-Bochner function spaces endowed with Orlicz norm.
Extreme points and rotundity of Orlicz-Sobolev spaces.
Extreme Points in Duals of Operator Spaces.
Extreme points in spaces of operators and vector – valued measures
Extreme points in tensor products and a theorem of de Leeuw
Extreme Points of a Convex Subset of the Cone of Positive Semidefinite Matrices.