A functional characterization of almost greedy and partially greedy bases
Functional Analysis
2021-08-04 v1
Abstract
In 2003, S. J. Dilworth et al. ([8]) introduced the notion of almost-greedy (resp. partially-greedy) bases. These bases were characterized in terms of quasi-greediness and democracy (resp. conservativeness). In this paper we will show a new functional characterization of these type of bases in general Banach spaces following the spirit of the characterization of greediness proved in [5].
Keywords
Cite
@article{arxiv.2108.01399,
title = {A functional characterization of almost greedy and partially greedy bases},
author = {Pablo M. Berná and Diego Mondéjar},
journal= {arXiv preprint arXiv:2108.01399},
year = {2021}
}