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arXiv · 0912.5178

A decomposition theorem for maxitive measures

Paul Poncet
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Abstract

A maxitive measure is the analogue of a finitely additive measure or charge, in which the usual addition is replaced by the supremum operation. Contrarily to charges, maxitive measures often have a density. We show that maxitive measures can be decomposed as the supremum of a maxitive measure with density, and a residual maxitive measure that is null on compact sets under specific conditions.

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Paul Poncet. 2009-12-28. A decomposition theorem for maxitive measures. https://doi.org/10.1016/j.laa.2010.03.004

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