Artículo
Extensions and New Characterizations of Some Greedy-Type Bases
Fecha de publicación:
03/2023
Editorial:
Malaysian Mathematical Sciences Soc
Revista:
Bulletin Of The Malaysian Mathematical Sciences Society
ISSN:
0126-6705
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
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.
Palabras clave:
ALMOST GREEDY
,
BASES
,
PARTIALLY GREEDY
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Articulos(IMAS)
Articulos de INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Articulos de INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Citación
Berasategui, Miguel Hernán; Berná, Pablo M.; Chu, Hùng Việt; Extensions and New Characterizations of Some Greedy-Type Bases; Malaysian Mathematical Sciences Soc; Bulletin Of The Malaysian Mathematical Sciences Society; 46; 2; 3-2023; 1-18
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