2015
DOI: 10.1155/2015/213679
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Weak Precompactness in the Space of Vector-Valued Measures of Bounded Variation

Abstract: For a Banach spaceXand a measure space(Ω,Σ), letM(Ω,X)be the space of allX-valued countably additive measures on(Ω,Σ)of bounded variation, with the total variation norm. In this paper we give a characterization of weakly precompact subsets ofM(Ω,X).

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