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Characterization of greedy bases in Banach spaces

2016/04/25 by Berná, Pablo M., Blasco, Óscar
#FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1604.07260

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.

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