The Radon-Nikodým property in conjugate Banach spaces. II

Stegall, Charles

doi:10.1090/S0002-9947-1981-0603779-1

The Radon-Nikodým property in conjugate Banach spaces. II
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by Charles Stegall

Trans. Amer. Math. Soc. 264 (1981), 507-519

DOI: https://doi.org/10.1090/S0002-9947-1981-0603779-1

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Abstract:

In the first part of this article the following result was proved. Theorem. The dual of a Banach space $X$ has the Radon-Nikodym property if and only if for every closed, linear separable subspace $Y$ of $X$, ${Y^ \ast }$ is separable. We find other, more detailed descriptions of Banach spaces whose duals have the Radon-Nikodym property.

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