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arXiv · 2207.10136

Extensions and new characterizations of some greedy-type bases

Miguel Berasategui·Pablo M. Berná·Hung Viet Chu
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Abstract

Partially greedy bases in Banach spaces were introduced by Dilworth et al. as a strictly weaker notion than the (almost) greedy bases. In this paper, we study two natural ways to strengthen the definition of partial greediness. The first way produces what we call the consecutive almost greedy property, which turns out to be equivalent to the almost greedy property. Meanwhile, the second way reproduces the PG property for Schauder bases but a strictly stronger property for general bases.

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Miguel Berasategui, Pablo M. Berná, Hung Viet Chu. 2022-07-20. Extensions and new characterizations of some greedy-type bases. https://arxiv.org/abs/2207.10136

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