Democracy of quasi-greedy bases in -Banach spaces with applications to the efficiency of the Thresholding Greedy Algorithm in the Hardy spaces

We use new methods, specific for non-locally convex quasi-Banach spaces, to investigate when the quasi-greedy bases of a $p$ -Banach space for $0< p<1$ are democratic. The novel techniques we obtain permit to show in particular that all quasi-greedy bases of the Hardy space $H_p({\mathbb {D}})...

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Bibliographic Details

Published in:	Proceedings of the Royal Society of Edinburgh. Section A. Mathematics Vol. 154; no. 3; pp. 906 - 928
Main Authors:	Albiac, Fernando, Ansorena, José L., Bello, Glenier
Format:	Journal Article
Language:	English
Published:	Cambridge Cambridge University Press 01.06.2024
Subjects:	Algorithms Approximation Banach spaces Democracy Efficiency Functional analysis Geometry Greedy algorithms
ISSN:	0308-2105, 1473-7124
Online Access:	Get full text
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