Mesures dominées par une capacité alternée d’ordre $2$
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- by A. El Kaabouchi PDF
- 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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Additional Information
- © Copyright 1994 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 121 (1994), 823-832
- MSC: Primary 28A12; Secondary 28A25, 52A99
- DOI: https://doi.org/10.1090/S0002-9939-1994-1189745-3
- MathSciNet review: 1189745