1977
DOI: 10.2307/2041279
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Generalizations of the Vitali-Hahn-Saks Theorem on Vector Measures

Abstract: Abstract.In this paper an extension of the Brook's control measure existence theorem for families of vector measures is established. This result is applied to pointwise convergent sequences of finitely additive vector measures to obtain a generalization of the Vitali-Hahn-Saks theorem.Introduction. The results presented in this paper began with an attempt to extend the classical Vitali-Hahn-Saks theorem to sequences of finitely additive vector measures. The work of Bogdanowicz [8], Drewnowski [5], and Labuda [… Show more

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