We shall present a new characterization of greedy bases and 1-greedy bases in terms of certain functionals defined using distances to one dimensional subspaces generated by the basis. We also introduce a new property that unifies the notions of unconditionality and democracy and allows us to recover a better dependence on the constants.
@article{arxiv.1604.07260,
title = {Characterization of greedy bases in Banach spaces},
author = {Pablo M. Berná and Óscar Blasco},
journal= {arXiv preprint arXiv:1604.07260},
year = {2016}
}