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Radon-Nikodým properties associated with subsets of countable discrete abelian groups

Author: Patrick N. Dowling
Journal: Trans. Amer. Math. Soc. 327 (1991), 879-890
MSC: Primary 46B22; Secondary 43A05
MathSciNet review: 1053113
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Abstract: With any subset of a countable discrete abelian we associate with it three Banach space properties. These properties are Radon-Nikodym type properties. The relationship between these properties is investigated. The results are applied to give new characterizations of Riesz subsets and Rosenthal subsets of countable discrete abelian groups.

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Article copyright: © Copyright 1991 American Mathematical Society

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