On Finitely Additive Vector Measures

On Finitely Additive Vector Measures

In this paper we extend the well-known Vitali-Hahn-Saks and Nikodym theorems for measures to finitely additive vector-valued set functions.

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Veröffentlicht in:Proceedings of the National Academy of Sciences - PNAS 1970-11, Vol.67 (3), p.1294-1298
Hauptverfasser: Brooks, James K., Jewett, Robert S.
Format: Artikel
Sprache:eng
Schlagworte:
Integers
Mathematical functions
Mathematical theorems
Mathematical vectors
Physical Sciences: Mathematics
Topological theorems
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Beschreibung
Zusammenfassung:In this paper we extend the well-known Vitali-Hahn-Saks and Nikodym theorems for measures to finitely additive vector-valued set functions.
ISSN:0027-8424
1091-6490
DOI:10.1073/pnas.67.3.1294