This is an announcement for the paper “Characterization of greedy bases in Banach spaces” by Pablo M. Berna and Oscar Blasco.

Abstract: 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.

The paper may be downloaded from the archive by web browser from URL http://arxiv.org/abs/1604.07260