Rosenthal sets and the Radon-Nikodym property-Reference-Cited by-同舟云学术

Rosenthal sets and the Radon-Nikodym property

Published:1993-04 Issue:2 Volume:54 Page:213-220
ISSN:0263-6115
Container-title:Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics
language:en
Short-container-title:J Aust Math Soc A

Author:

Dowling Patrick N.

Abstract

AbstractLet X be a complex Banach space, G a compact abelian metrizable group and Λ a subset of Ĝ, the dual group of G. If X has the Radon-Nikodym property and is separable then has the Radon-Nikodym property. One consequence of this is that CΛ(G, X) has the Radon-Nikodym property whenever X has the Radon-Nikodym property and the Schur property and Λ is a Rosenthal set. A partial stability property for products of Rosenthal sets is also obtained.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics,Statistics and Probability

Reference9 articles.

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Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Rosenthal sets for Banach-valued functions;Archiv der Mathematik;1996-06

2. Stability of some types of Radon-Nikodym properties;Illinois Journal of Mathematics;1995-09-01