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The analytic Radon-Nikodým property in Lebesgue Bochner function spaces


Author: Patrick N. Dowling
Journal: Proc. Amer. Math. Soc. 99 (1987), 119-122
MSC: Primary 46E40; Secondary 46B22
DOI: https://doi.org/10.1090/S0002-9939-1987-0866440-5
MathSciNet review: 866440
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Abstract: Let $ X$ be a complex Banach space, $ (\Omega ,\sum ,\mu )$ a finite measure space, and $ 1 \leq p < \infty $. Then $ {L_p}(\mu ;X)$ has the analytic Radon-Nikodym property if and only if $ X$ has it.


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DOI: https://doi.org/10.1090/S0002-9939-1987-0866440-5
Article copyright: © Copyright 1987 American Mathematical Society

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