Support functionals for closed bounded convex subsets of a Banach space.- Convexity and differentiability of norms.- Uniformly convex and uniformly smooth Banach spaces.- The classical renorming theorems.- Weakly compactly generated banach spaces.- The Radon-Nikod m theorem for vector measures.
Inhaltsverzeichnis
Support functionals for closed bounded convex subsets of a Banach space. - Convexity and differentiability of norms. - Uniformly convex and uniformly smooth Banach spaces. - The classical renorming theorems. - Weakly compactly generated banach spaces. - The Radon-Nikodým theorem for vector measures.