  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].
