Pettis decomposition for universally scalarly measurable functions
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- by Elizabeth M. Bator PDF
- Proc. Amer. Math. Soc. 104 (1988), 795-800 Request permission
Abstract:
It is shown that if $K$ is a compact Hausdorff space, $X$ is a Banach space, and $f:K \to {X^ * }$ is bounded and universally scalarly measurable, then $f$ is $\mu$-Pettis decomposable for every Radon measure $\mu$ on $K$.References
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Additional Information
- © Copyright 1988 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 104 (1988), 795-800
- MSC: Primary 28B05; Secondary 46G10
- DOI: https://doi.org/10.1090/S0002-9939-1988-0964859-6
- MathSciNet review: 964859