A decomposition theorem for maxitive measures

作者：Poncet Paul^*

来源：Linear Algebra and Its Applications, 2011, 435(7): 1672-1680.

DOI：10.1016/j.laa.2010.03.004

• Max-plus algebra
• Maxitive measures
• Idempotent measures
• Capacities
• Continuous posets
• Domains
• Continuous lattices

A maxitive measure is the analogue of a finitely additive measure or charge, in which the usual addition is replaced by the supremum operation. In contrast 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.

• 出版日期2011-10-1
• 单位INRIA