Some remarks concerning finitely Subadditive outer measures with applications
نویسندگان
چکیده
منابع مشابه
SOME REMARKS CONCERNING FINITELY SUBADDmVE OUTER MEASURES WITH APPUCATIONS
The present paper is intended as a first step toward the establishment of a general theory of finitely subadditive outer measures. First, a general method for constructing a finitely subadditive outer measure and an associated finitely additive measure on any space is presented. This is followed by a discussion ofthe theory ofinner measures, their construction, and the relationship oftheir prop...
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Let ν be a finite, finitely subadditive outer measure on P(X). Define ρ(E)= ν(X)− ν(E′) for E ⊂ X. The measurable sets Sν and Sρ and the set S = {E ⊂ X/ν(E) = ρ(E)} are investigated in general, and in the presence of regularity or modularity assumptions on ν . This is also done for ν0(E) = inf{ν(M)/E ⊂ M ∈ Sν}. General properties of ν are derived when ν is weakly submodular. Applications and nu...
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ژورنال
عنوان ژورنال: International Journal of Mathematics and Mathematical Sciences
سال: 1998
ISSN: 0161-1712,1687-0425
DOI: 10.1155/s016117129800091x