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 ${l^\infty }$.References
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Additional Information
- © Copyright 1989 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 107 (1989), 119-124
- MSC: Primary 46G10; Secondary 28B05
- DOI: https://doi.org/10.1090/S0002-9939-1989-0962243-3
- MathSciNet review: 962243