Mesures dominées par une capacité alternée d’ordre 2

El Kaabouchi, A.

doi:10.1090/S0002-9939-1994-1189745-3

Mesures dominées par une capacité alternée d’ordre $2$
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Proc. Amer. Math. Soc. 121 (1994), 823-832 Request permission

Abstract:

Let C be an alternating capacity of order 2 on a metrizable compact space, and let ${\mathcal {P}_C}$ be the convex set of all measures dominated by C. We find a quite simple set of extreme elements of ${\mathcal {P}_C}$ such that the closed convex hull of this set is ${\mathcal {P}_C}$. We also give other properties, including a generalization of one of Anger’s results.

References

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Appendice à l’exposé précédent

Abdelaziz El Kaabouchi, Points extrémaux du convexe des mesures majorées par une capacité, C. R. Acad. Sci. Paris Sér. I Math. 313 (1991), no. 1, 37–40 (French, with English summary). MR 1115944
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