Abstract
A Banach spaceX is an Asplund space (a strong differentiability space) if and only ifX * has the Radon-Nikodym property.
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Stegall, C. The duality between Asplund spaces and spaces with the Radon-Nikodym property. Israel J. Math. 29, 408–412 (1978). https://doi.org/10.1007/BF02761178
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DOI: https://doi.org/10.1007/BF02761178