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arXiv:0912.5178 [math.GN]AbstractReferencesReviewsResources

A decomposition theorem for maxitive measures

Paul Poncet

Published 2009-12-28Version 1

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.

Comments: 11 pages
Journal: Linear Algebra Appl. 435 (2011) 1672-1680
Categories: math.GN, math.OC
Subjects: 28B15, 28C15, 06B35, 03E72, 49J52
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