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A note on 1-semi-greedy bases in p-Banach spaces with 0 < p ≤ 1

Berná Pablo M., García Andrea, González David

Demonstratio Mathematica

2024

Vol. 57, nr 1

art. no. 20240047

The purpose of this article is to discuss about the so-called semi-greedy bases in p-Banach spaces. Specifically, we will review existing results that characterize these bases in terms of almost-greedy bases, and, also, we analyze quantitatively the behavior of certain constants. As new results, by avoiding the use of certain classical results in p-convexity, we aim to quantitatively improve specific bounds for bi-monotone 1-semi-greedy bases.