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Transactions of the American Mathematical Society

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The Radon-Nikodým property in conjugate Banach spaces. II


Author: Charles Stegall
Journal: Trans. Amer. Math. Soc. 264 (1981), 507-519
MSC: Primary 46B22; Secondary 46G10
DOI: https://doi.org/10.1090/S0002-9947-1981-0603779-1
MathSciNet review: 603779
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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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DOI: https://doi.org/10.1090/S0002-9947-1981-0603779-1
Article copyright: © Copyright 1981 American Mathematical Society