A note on partially-greedy bases in quasi-Banach spaces

2020/04/02 by Berná, Pablo M. · 1 citation
#FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2004.01128

Abstract

We continue with the study of greedy-type bases in quasi-Banach spaces started in [3]. In this paper, we study partially-greedy bases focusing our attention in two main results: -Characterization of partially-greedy bases in quasi-Banach spaces in terms of quasi-greediness and different conservative-like properties. -Given a C-partially-greedy basis in a quasi-Banach space, there exists a "renorming" such that the basis is 1-partially-greedy.

Cited by

• Lebesgue-type estimates for greedy algorithms in quasi-Banach spaces

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• Extensions and new characterizations of some greedy-type bases
• A functional characterization of almost greedy and partially greedy bases
• Characterization of 1-almost greedy bases
• Characterization of 1-quasi-greedy bases
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