5 citations · 5 across the 4 of their papers we have counts for
5 papers · 1 filter
Quasi-linear maps and image transformations
S. V. Butler
Conic quasi-linear maps are nonlinear operators from to a normed linear space which preserve nonnegative linear combinations on positive cones generated by single func…
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…
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…
Non-linear functionals, deficient topological measures, and representation theorems on locally compact spaces
Svetlana V. Butler
We study non-linear functionals, including quasi-linear functionals, p-conic quasi-linear functionals, d-functionals, r-functionals, and their relationships to deficient topologica…
Quasi-linear functionals on locally compact spaces
Svetlana V. Butler
This paper has two goals: to present some new results that are necessary for further study and applications of quasi-linear functionals, and, by combining known and new results, to…