The Choquet integral representability of comonotonically additive functionals in locally compact spaces
The Choquet integral representability of comonotonically additive functionals in locally compact spaces
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DOI：
10.1016/j.ijar.2012.08.002
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发表时间：
2013-04
期刊：
影响因子：
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通讯作者：
J. Kawabe
中科院分区：
文献类型：
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作者：
J. Kawabe
We give an alternative and direct approach to the Choquet integral representability of a comonotonically additive, bounded, monotone functional I defined on the space of all continuous, real-valued functions on a locally compact space X with compact support and on the space of all continuous, real-valued functions on X vanishing at infinity. To this end, we introduce the notion of the asymptotic translatability of the functional I and show that this simple notion is equivalent to the Choquet integral representability of I with respect to a monotone measure on X with appropriate regularity.
