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The Radon-Nikodym theorem for Lebesgue-Bochner function spaces |
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| Authors: | Kondagunta Sundaresan |
| Affiliation: | Department of Mathematics, University of Wyoming, Laramie, Wyoming 82071 USA |
| Abstract: | It is proved that the Lebesgue-Bochner function spaces Lp(E, λ), 1 < p < ∞, have the Radon-Nikodym property if and only if E has the same property. This solves an unsolved problem of Davies, Diestel and Leonard. |
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