A characterization of the Radon-Nikodym property
classification
🧮 math.FA
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propertyradon-nikodymresultazkabanachbelowboundedcharacterization
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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. Proch\'azka.
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