A geometrical characterization of Banach spaces with the Radon-Nikodym property
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- by Hugh B. Maynard PDF
- Trans. Amer. Math. Soc. 185 (1973), 493-500 Request permission
Abstract:
A characterization of Banach spaces having the Radon-Nikodym property is obtained in terms of a convexity requirement on all bounded subsets. In addition a Radon-Nikodym theorem, utilizing this convexity property, is given for the Bochner integral and it is easily shown that this theorem is equivalent to the Phillips-Metivier Radon-Nikodym theorem as well as all the standard Radon-Nikodym theorems for the Bochner integral.References
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Additional Information
- © Copyright 1973 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 185 (1973), 493-500
- MSC: Primary 46B05; Secondary 28A45, 46G10
- DOI: https://doi.org/10.1090/S0002-9947-1973-0385521-0
- MathSciNet review: 0385521