Quasi-greedy bases for sequences with gaps. (July 2021)

• Record Type: Journal Article
• Authors: Berasategui, M.; Berná, P.M.
• Is Part Of: Nonlinear analysis. Volume 208(2021)
• Publication Date: 2021-07
• Subjects: 41A65 -- 41A46 -- 41A17 -- 46B15 -- 46B45; Non-linear approximation -- Greedy bases -- Weak greedy algorithm -- Quasi-greedy basis; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2021.112294
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: In this paper, we establish new results in the theory started by T. Oikhberg in Oikhberg (2018) where the author joins greedy approximation theory with the use of sequences with gaps. Concretely, we study and provide some answers to three open questions related to quasi-greedy bases for sequences with gaps posed in Oikhberg (2018)[Section 6].