The Radon-Nikodym Property in Conjugate Banach Spaces
Open Access
- 1 May 1975
- journal article
- Published by JSTOR in Transactions of the American Mathematical Society
- Vol. 206, 213-223
- https://doi.org/10.2307/1997154
Abstract
We characterize conjugate Banach spaces having the Radon-Nikodym Property as those spaces such that any separable subspace of has a separable conjugate. Several applications are given.Keywords
This publication has 6 references indexed in Scilit:
- Differentiable Functions and Rough Norms on Banach SpacesProceedings of the American Mathematical Society, 1972
- The Radon-Nikodym Theorem for the Bochner IntegralTransactions of the American Mathematical Society, 1968
- Basic sequences and the Paley-Wiener criterionPacific Journal of Mathematics, 1964
- Produits tensoriels topologiques et espaces nucléairesMemoirs of the American Mathematical Society, 1955
- On Weakly Compact Subsets of a Banach SpaceAmerican Journal of Mathematics, 1943
- Linear Operations on Summable FunctionsTransactions of the American Mathematical Society, 1940