Means of extreme points and F-spaces ✩

Given a topological space T and a strictly convex real normed space X, let C(T ,X) be the space of continuous and bounded functions from T into X, with its uniform norm. This paper is devoted to the study of the relation between the fact of T being an F-space and the property that every element in the unit ball of C(T ,X) has a representation as a mean of two extreme points.  2003 Elsevier Inc. All rights reserved