Pettis decomposition for universally scalarly measurable functions

Bator, Elizabeth M.

doi:10.1090/S0002-9939-1988-0964859-6

Pettis decomposition for universally scalarly measurable functions
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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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