INVESTIGADORES
LASSALLE Silvia Beatriz
artículos
Título:
Strong partially greedy bases and Lebesgue-type inequalities
Autor/es:
BERASATEGUI, MIGUEL; BERNÁ, PABLO; LASSALLE, SILVIA
Revista:
CONSTRUCTIVE APPROXIMATION
Editorial:
SPRINGER
Referencias:
Lugar: Berlin; Año: 2021 vol. 54 p. 507 - 528
ISSN:
0176-4276
Resumen:
In this paper we continue the study of Lebsgue-type inequalities for greedy algorithms. We introduce the notion of strong partially greedy Markushevich bases and study the Lebesgue-type parameters associated with them. We prove that this property is equivalent to that of being conservative and quasi-greedy, extending a similar result given by Dilworth, Kalton, Kutzarova and Temlyakov (2003) for Schauder bases. We also give a characterization of 1-strong partial greediness, following the study started by Albiac and Wojtaszczyk (2006) and Albiac and Ansorena (2017).
