
doi: 10.1007/bf01190958
There are results in the literature about when a real-valued capacity is the supremum of a family of measures. In this paper we consider the analogous situation when the capacity and the measures take their values in a Riesz space.
sublinear map, quasi-regular measure, representation of lattice-valued capacities, Set functions, measures and integrals with values in ordered spaces, supremum of a family of measures, Riesz space, Contents, measures, outer measures, capacities, Ordered topological linear spaces, vector lattices
sublinear map, quasi-regular measure, representation of lattice-valued capacities, Set functions, measures and integrals with values in ordered spaces, supremum of a family of measures, Riesz space, Contents, measures, outer measures, capacities, Ordered topological linear spaces, vector lattices
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