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

Dowling, Patrick N.

doi:10.1090/S0002-9947-1991-1053113-7

Radon-Nikodým properties associated with subsets of countable discrete abelian groups
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Trans. Amer. Math. Soc. 327 (1991), 879-890 Request permission

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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