Almost overcomplete and almost overtotal sequences in Banach spaces
Functional Analysis
2014-06-26 v1
Abstract
The new concepts are introduced of almost overcomplete sequence in a Banach space and almost overtotal sequence in a dual space. We prove that any of such sequences is relatively norm-compact and we obtain several applications of this fact.
Keywords
Cite
@article{arxiv.1402.6247,
title = {Almost overcomplete and almost overtotal sequences in Banach spaces},
author = {Vladimir P. Fonf and Clemente Zanco},
journal= {arXiv preprint arXiv:1402.6247},
year = {2014}
}