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On the Pettis measurability theorem
Published online by Cambridge University Press: 17 April 2009
Abstract
It is shown that, in Pettis's criterion for Bochner measurability of a vector-valued function f: S → X, scalar measurability of f can be weakened to requiring that u of be measurable for u in some subset of the dual X* separating the points of X. Even then, the separability hypotheses in Pettis's Theorem can be weakened as well.
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- Copyright © Australian Mathematical Society 1994
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