Add to ORKGThis work deals with compact convex sets and affine functions on them. The approach differs from that of Alfsen, in his book "Compact Convex Sets and Boundary Integrals"
It is shown that a closed convex bounded subset of a Banach space is weakly compact if and only if i...
AbstractWe characterize those metrizable compact convex sets K that contain a Bauer simplex B such t...
AbstractCharacterizations are given for the continuous affine functionals on families of analytic fu...
AbstractIt is known that if X is a compact convex subset of a locally convex space E, then the set o...
The thesis consists of seven research papers. The first two papers study the properties of fragmente...
The paper deals with affine selections of affine (both convex and concave) multifunctions acting bet...
AbstractIf X is a compact convex set in a real locally convex space, B⊂X is said to be its boundary ...
AbstractIt is shown that a closed convex bounded subset of a Banach space is weakly compact if and o...
The first part of the thesis presents the basics of Choquet theory of function spaces needed in the ...
These notes are a short introduction to affine and convex spaces, written especially for physics stu...
AbstractLet φ:X→Y be an affine continuous mapping of a compact convex set X onto a compact convex se...
Like differentiability, convexity is a natural and powerful property of functions that plays a signi...
AbstractSome recently obtained sufficient conditions for the weak compactness of subsets of L1(m, X)...
Integrally convex functions constitute a fundamental function class in discrete convex analysis, inc...
AbstractLet X be a compact convex subset of a locally convex space. We show that any bounded Baire-o...
It is shown that a closed convex bounded subset of a Banach space is weakly compact if and only if i...
AbstractWe characterize those metrizable compact convex sets K that contain a Bauer simplex B such t...
AbstractCharacterizations are given for the continuous affine functionals on families of analytic fu...
AbstractIt is known that if X is a compact convex subset of a locally convex space E, then the set o...
The thesis consists of seven research papers. The first two papers study the properties of fragmente...
The paper deals with affine selections of affine (both convex and concave) multifunctions acting bet...
AbstractIf X is a compact convex set in a real locally convex space, B⊂X is said to be its boundary ...
AbstractIt is shown that a closed convex bounded subset of a Banach space is weakly compact if and o...
The first part of the thesis presents the basics of Choquet theory of function spaces needed in the ...
These notes are a short introduction to affine and convex spaces, written especially for physics stu...
AbstractLet φ:X→Y be an affine continuous mapping of a compact convex set X onto a compact convex se...
Like differentiability, convexity is a natural and powerful property of functions that plays a signi...
AbstractSome recently obtained sufficient conditions for the weak compactness of subsets of L1(m, X)...
Integrally convex functions constitute a fundamental function class in discrete convex analysis, inc...
AbstractLet X be a compact convex subset of a locally convex space. We show that any bounded Baire-o...
It is shown that a closed convex bounded subset of a Banach space is weakly compact if and only if i...
AbstractWe characterize those metrizable compact convex sets K that contain a Bauer simplex B such t...
AbstractCharacterizations are given for the continuous affine functionals on families of analytic fu...