Extensions and New Characterizations of Some Greedy-Type Bases

Autores
Berasategui, Miguel Hernán; Berná, Pablo M.; Chu, Hùng Việt
Año de publicación
2023
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
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.
Fil: Berasategui, Miguel Hernán. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina
Fil: Berná, Pablo M.. Colegio Universitario de Estudios Financieros; España
Fil: Chu, Hùng Việt. University of Illinois; Estados Unidos
Materia
ALMOST GREEDY
BASES
PARTIALLY GREEDY
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/228314
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Extensions and New Characterizations of Some Greedy-Type BasesBerasategui, Miguel HernánBerná, Pablo M.Chu, Hùng ViệtALMOST GREEDYBASESPARTIALLY GREEDYhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1Partially 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.Fil: Berasategui, Miguel Hernán. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; ArgentinaFil: Berná, Pablo M.. Colegio Universitario de Estudios Financieros; EspañaFil: Chu, Hùng Việt. University of Illinois; Estados UnidosMalaysian Mathematical Sciences Soc2023-03info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/228314Berasategui, 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; 1-180126-6705CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://link.springer.com/10.1007/s40840-023-01472-8info:eu-repo/semantics/altIdentifier/doi/10.1007/s40840-023-01472-8info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:35:20Zoai:ri.conicet.gov.ar:11336/228314instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 10:35:20.564CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Extensions and New Characterizations of Some Greedy-Type Bases
title Extensions and New Characterizations of Some Greedy-Type Bases
spellingShingle Extensions and New Characterizations of Some Greedy-Type Bases
Berasategui, Miguel Hernán
ALMOST GREEDY
BASES
PARTIALLY GREEDY
title_short Extensions and New Characterizations of Some Greedy-Type Bases
title_full Extensions and New Characterizations of Some Greedy-Type Bases
title_fullStr Extensions and New Characterizations of Some Greedy-Type Bases
title_full_unstemmed Extensions and New Characterizations of Some Greedy-Type Bases
title_sort Extensions and New Characterizations of Some Greedy-Type Bases
dc.creator.none.fl_str_mv Berasategui, Miguel Hernán
Berná, Pablo M.
Chu, Hùng Việt
author Berasategui, Miguel Hernán
author_facet Berasategui, Miguel Hernán
Berná, Pablo M.
Chu, Hùng Việt
author_role author
author2 Berná, Pablo M.
Chu, Hùng Việt
author2_role author
author
dc.subject.none.fl_str_mv ALMOST GREEDY
BASES
PARTIALLY GREEDY
topic ALMOST GREEDY
BASES
PARTIALLY GREEDY
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv 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.
Fil: Berasategui, Miguel Hernán. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina
Fil: Berná, Pablo M.. Colegio Universitario de Estudios Financieros; España
Fil: Chu, Hùng Việt. University of Illinois; Estados Unidos
description 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.
publishDate 2023
dc.date.none.fl_str_mv 2023-03
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/228314
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
0126-6705
CONICET Digital
CONICET
url http://hdl.handle.net/11336/228314
identifier_str_mv 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
0126-6705
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/10.1007/s40840-023-01472-8
info:eu-repo/semantics/altIdentifier/doi/10.1007/s40840-023-01472-8
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv Malaysian Mathematical Sciences Soc
publisher.none.fl_str_mv Malaysian Mathematical Sciences Soc
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
_version_ 1844614371567730688
score 13.069144

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