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arXiv · 2108.01399

A functional characterization of almost greedy and partially greedy bases

Pablo M. Berná·Diego Mondéjar
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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].

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Pablo M. Berná, Diego Mondéjar. 2021-08-03. A functional characterization of almost greedy and partially greedy bases. https://arxiv.org/abs/2108.01399

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