The dual Radon - Nikodym property for finitely generated Banach C(K)-Modules
Functional Analysis
2017-07-18 v1
Abstract
We extend the well-known criterion of Lotz for the dual Radon-Nikodym property (RNP) of Banach lattices to finitely generated Banach -modules and Banach -modules of finite multiplicity. Namely, we prove that if is a Banach space from one of these classes then its Banach dual has the RNP iff does not contain a closed subspace isomorphic to .
Keywords
Cite
@article{arxiv.1707.04655,
title = {The dual Radon - Nikodym property for finitely generated Banach C(K)-Modules},
author = {Arkady Kitover and Mehmet Orhon},
journal= {arXiv preprint arXiv:1707.04655},
year = {2017}
}