A characterization of the Radon-Nikodym property
Functional Analysis
2013-03-08 v1
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. Proch\'azka.
Cite
@article{arxiv.1303.1721,
title = {A characterization of the Radon-Nikodym property},
author = {Robert Deville and Óscar Madiedo},
journal= {arXiv preprint arXiv:1303.1721},
year = {2013}
}
Comments
10 pages, 2 figures