El Kaabouchi, Abdelaziz Points extrémaux du convexe des mesures majorées par une capacité. (Extreme elements in the convex set of measures majorized by a capacity). (French) Zbl 0777.31009 C. R. Acad. Sci., Paris, Sér. I 313, No. 1, 37-40 (1991). Summary: Let \(C\) be an alternating capacity of order 2 on a metrizable compact space \(E\), and let \({\mathcal P}_ C\) be the convex set of all measures majorized by \(C\). We describe the set of extreme points of \({\mathcal P}_ C\) when \({\mathcal P}_ C\) consists of all atomic measures or when \(C\) takes a finite number of values. Other results are also considered. Cited in 1 Document MSC: 31C15 Potentials and capacities on other spaces 28C15 Set functions and measures on topological spaces (regularity of measures, etc.) Keywords:capacity of order 2 on a metrizable compact space; set of extreme points PDFBibTeX XMLCite \textit{A. El Kaabouchi}, C. R. Acad. Sci., Paris, Sér. I 313, No. 1, 37--40 (1991; Zbl 0777.31009)