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Compactness and weak compactness in spaces of compact-range vector measures

1984
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Canadian Journal of Mathematics - Journal Canadien de Mathematiques
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1. Introduction. This paper features strong and weak compactness in spaces of vector measures with relatively compact ranges in Banach spaces. Its tools are the measure-operator identification of [16] and [24] and the description of strong and weak compactness in spaces of compact operators in [10], [11], and [29]. Given a Banach space X and an algebra j/of sets, it is shown in [16] that under the usual identification via integration of X-valued bounded additive measures on se with J-valued sup

doi:10.4153/cjm-1984-057-9
fatcat:uvrhqvun55d4negmjxbqgh54qi