Overcomplete sets in non-separable Banach spaces
Functional Analysis
2021-01-13 v2
Abstract
We introduce and study the notion of overcomplete set in a Banach space, that subsumes and extends the classical concept of overcomplete sequence in a (separable) Banach space. We give existence and non-existence results of overcomplete sets for a wide class of (non-separable) Banach spaces and we study to which extent properties of overcomplete sequences are retained by every overcomplete set.
Cite
@article{arxiv.1912.08690,
title = {Overcomplete sets in non-separable Banach spaces},
author = {Tommaso Russo and Jacopo Somaglia},
journal= {arXiv preprint arXiv:1912.08690},
year = {2021}
}