IMAS 23417
INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Unidad Ejecutora - UE
artículos
Título:
Extensions and New Characterizations of Some Greedy-Type Bases
Autor/es:
BERASATEGUI, MIGUEL; CHU, HÙNG VI?T; BERNÁ, PABLO M.
Revista:
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY
Editorial:
MALAYSIAN MATHEMATICAL SCIENCES SOC
Referencias:
Año: 2023 vol. 46
ISSN:
0126-6705
Resumen:
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.
