Finitely subadditive outer measures, finitely superadditive inner measures and their measurable sets

P. D. Stratigos

International Journal of Mathematics and Mathematical Sciences, 1996, vol. 19, 1-12

Abstract:

Consider any set X . A finitely subadditive outer measure on P ( X ) is defined to be a function v from P ( X ) to R such that v ( Ï• ) = 0 and v is increasing and finitely subadditive. A finitely superadditive inner measure on P ( X ) is defined to be a function p from P ( X ) to R such that p ( Ï• ) = 0 and p is increasing and finitely superadditive (for disjoint unions) (It is to be noted that every finitely superadditive inner measure on P ( X ) is countably superadditive).

This paper contributes to the study of finitely subadditive outer measures on P ( X ) and finitely superadditive inner measures on P ( X ) and their measurable sets.

Date: 1996
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:814730

DOI: 10.1155/S016117129600066X

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