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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Mesures dominées par une capacité alternée d'ordre $ 2$


Author: A. El Kaabouchi
Journal: Proc. Amer. Math. Soc. 121 (1994), 823-832
MSC: Primary 28A12; Secondary 28A25, 52A99
MathSciNet review: 1189745
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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.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1994-1189745-3
PII: S 0002-9939(1994)1189745-3
Keywords: Capacités alternées d'ordre 2
Article copyright: © Copyright 1994 American Mathematical Society