Some remarks on the average range of a vector measure

Freniche, Francisco J.

doi:10.1090/S0002-9939-1989-0962243-3

Some remarks on the average range of a vector measure
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by Francisco J. Freniche PDF

Proc. Amer. Math. Soc. 107 (1989), 119-124 Request permission

Abstract:

We study some conditions on the average range of a vector measure with values in the bidual of a Banach space which imply that the range is contained in the space. We prove that Geitz’s condition is a sufficient one if the dual closed unit ball is weak-star sequentially compact. We also show how to reduce to measures with values in the bidual of ${l^\infty }$.

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