On a sufficient condition of Lusin's theorem for non-additive measures that take values in an ordered topological vector space
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Cited by (6)
On Lusin's theorem for non-additive measures that take values in an ordered topological vector space
2014, Fuzzy Sets and SystemsCitation Excerpt :Kawabe proved Lusin's theorem for Riesz space-valued fuzzy Borel measures; see [7]. In [16], the authors also proved Lusin's theorem for non-additive Borel measures which take values in an ordered topological vector space under the following assumptions; the measure is continuous from above with a property suggested by Sun [13] and weakly null-additive, and the image space has an ordered topological vector space version of the Egoroff property. Recently in [9], Li and Mesiar proved Lusin's theorem for real-valued monotone measures on a metric space under an equivalent condition to Egoroff's theorem by using the pseudometric generating property of set function.
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