A decomposition of bounded scalarly measurable functions taking their ranges in dual Banach spaces

Bator, Elizabeth M.

doi:10.1090/S0002-9939-1988-0934855-3

A decomposition of bounded scalarly measurable functions taking their ranges in dual Banach spaces
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by Elizabeth M. Bator

Proc. Amer. Math. Soc. 102 (1988), 850-854

DOI: https://doi.org/10.1090/S0002-9939-1988-0934855-3

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Abstract:

A decomposition of scalarly measurable functions taking their range in the dual of a Banach space into a Pettis integrable part and a weak* scalarly null part is introduced and analyzed.

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