Criteria for Closedness of Vector Measures

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 May 1984Publisher:JSTORJournal:Proceedings of the American Mathematical Society, volume 91, page 75 (issn: 0002-9939,

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Authors: Ricker, W.;

doi: 10.2307/2045273 , 10.1090/s0002-9939-1984-0735568-x

Criteria for Closedness of Vector Measures

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Abstract

It is shown that there is a large class of locally convex spaces, which includes, for example, all spaces which are metrizable or Suslin or have the strict Mackey convergence property as well as many dual spaces, with the property that any vector measure assuming its values in such a space is a closed measure.

Keywords

topology of uniform convergence of indefinite integrals, closed measures, Vector-valued set functions, measures and integrals, Vector-valued measures and integration, strict Mackey convergence property, vector measure

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