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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

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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DOI: http://dx.doi.org/10.1090/S0002-9947-1991-1053113-7
PII: S 0002-9947(1991)1053113-7
Article copyright: © Copyright 1991 American Mathematical Society