5 citations · 5 across the 4 of their papers we have counts for
10 papers
Semisolid sets and topological measures
Svetlana V. Butler
This paper is one in a series that investigates topological measures on locally compact spaces. A topological measure is a set function which is finitely additive on the collection…
Weak convergence of topological measures
Svetlana V. Butler
Topological measures and deficient topological measures are defined on open and closed subsets of a topological space, generalize regular Borel measures, and correspond to (non-lin…
Integration with respect to deficient topological measures on locally compact spaces
Svetlana V. Butler
Topological measures and deficient topological measures generalize Borel measures and correspond to certain non-linear functionals. We study integration with respect to deficient t…
Decompositions of signed deficient topological measures
Svetlana V. Butler
This paper focuses on various decompositions of topological measures, deficient topological measures, signed topological measures, and signed deficient topological measures. These…
Signed topological measures on locally compact spaces
Svetlana V. Butler
In this paper we define and study signed deficient topological measures and signed topological measures (which generalize signed measures) on locally compact spaces. We prove that…
Repeated quasi-integration on locally compact spaces
Svetlana V. Butler
When is locally compact, a quasi-integral (also called a quasi-linear functional) on is a homogeneous, positive functional that is only assumed to be linear on singly…