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arXiv · 1303.1721

A characterization of the Radon-Nikodym property

Robert Deville·Óscar Madiedo
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Abstract

It is well known that every bounded below and non increasing sequence in the real line converges. We give a version of this result valid in Banach spaces with the Radon-Nikodym property, thus extending a former result of A. Procházka.

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Robert Deville, Óscar Madiedo. 2013-03-07. A characterization of the Radon-Nikodym property. https://arxiv.org/abs/1303.1721

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