Schauder bases in an abstract setting

By using some generalized Riemann integrals instead of ordinary sums and multiplication systems of Banach spaces instead of Banach spaces, we establish some natural generalizations of the most basic facts on Schauder bases so that Hamel bases, and some other important unconditional bases, could also...

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Autores:
Kovács, István
Száz, Árpád
Tipo de recurso:
Article of journal
Fecha de publicación:
2002
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/43785
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/43785
http://bdigital.unal.edu.co/33883/
Palabra clave:
Defining nets for integration
multiplication systems of Banach spaces
generalized Riemann integrals and Schauder bases
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
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spelling Atribución-NoComercial 4.0 InternacionalDerechos reservados - Universidad Nacional de Colombiahttp://creativecommons.org/licenses/by-nc/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Kovács, István2775edb3-5639-478f-a017-344f1e4f5771300Száz, Árpádf56c7db3-4346-45f8-a7cb-d35d2085c0483002019-06-28T12:27:20Z2019-06-28T12:27:20Z2002https://repositorio.unal.edu.co/handle/unal/43785http://bdigital.unal.edu.co/33883/By using some generalized Riemann integrals instead of ordinary sums and multiplication systems of Banach spaces instead of Banach spaces, we establish some natural generalizations of the most basic facts on Schauder bases so that Hamel bases, and some other important unconditional bases, could also be included.application/pdfspaUniversidad Nacuional de Colombia; Sociedad Colombiana de matemáticashttp://revistas.unal.edu.co/index.php/recolma/article/view/33824Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de MatemáticasRevista Colombiana de MatemáticasRevista Colombiana de Matemáticas; Vol. 36, núm. 1 (2002); 29-48 0034-7426Kovács, István and Száz, Árpád (2002) Schauder bases in an abstract setting. Revista Colombiana de Matemáticas; Vol. 36, núm. 1 (2002); 29-48 0034-7426 .Schauder bases in an abstract settingArtículo de revistainfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1http://purl.org/coar/version/c_970fb48d4fbd8a85Texthttp://purl.org/redcol/resource_type/ARTDefining nets for integrationmultiplication systems of Banach spacesgeneralized Riemann integrals and Schauder basesORIGINAL33824-127599-1-PB.pdfapplication/pdf6039078https://repositorio.unal.edu.co/bitstream/unal/43785/1/33824-127599-1-PB.pdf1b3f355e4c65593b7c4c935af07bec8cMD51THUMBNAIL33824-127599-1-PB.pdf.jpg33824-127599-1-PB.pdf.jpgGenerated Thumbnailimage/jpeg5561https://repositorio.unal.edu.co/bitstream/unal/43785/2/33824-127599-1-PB.pdf.jpgd048bb2a0172764ca0a9bb18b661c3c9MD52unal/43785oai:repositorio.unal.edu.co:unal/437852024-02-11 23:19:15.546Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co
dc.title.spa.fl_str_mv Schauder bases in an abstract setting
title Schauder bases in an abstract setting
spellingShingle Schauder bases in an abstract setting
Defining nets for integration
multiplication systems of Banach spaces
generalized Riemann integrals and Schauder bases
title_short Schauder bases in an abstract setting
title_full Schauder bases in an abstract setting
title_fullStr Schauder bases in an abstract setting
title_full_unstemmed Schauder bases in an abstract setting
title_sort Schauder bases in an abstract setting
dc.creator.fl_str_mv Kovács, István
Száz, Árpád
dc.contributor.author.spa.fl_str_mv Kovács, István
Száz, Árpád
dc.subject.proposal.spa.fl_str_mv Defining nets for integration
multiplication systems of Banach spaces
generalized Riemann integrals and Schauder bases
topic Defining nets for integration
multiplication systems of Banach spaces
generalized Riemann integrals and Schauder bases
description By using some generalized Riemann integrals instead of ordinary sums and multiplication systems of Banach spaces instead of Banach spaces, we establish some natural generalizations of the most basic facts on Schauder bases so that Hamel bases, and some other important unconditional bases, could also be included.
publishDate 2002
dc.date.issued.spa.fl_str_mv 2002
dc.date.accessioned.spa.fl_str_mv 2019-06-28T12:27:20Z
dc.date.available.spa.fl_str_mv 2019-06-28T12:27:20Z
dc.type.spa.fl_str_mv Artículo de revista
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url https://repositorio.unal.edu.co/handle/unal/43785
http://bdigital.unal.edu.co/33883/
dc.language.iso.spa.fl_str_mv spa
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dc.relation.spa.fl_str_mv http://revistas.unal.edu.co/index.php/recolma/article/view/33824
dc.relation.ispartof.spa.fl_str_mv Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de Matemáticas
Revista Colombiana de Matemáticas
dc.relation.ispartofseries.none.fl_str_mv Revista Colombiana de Matemáticas; Vol. 36, núm. 1 (2002); 29-48 0034-7426
dc.relation.references.spa.fl_str_mv Kovács, István and Száz, Árpád (2002) Schauder bases in an abstract setting. Revista Colombiana de Matemáticas; Vol. 36, núm. 1 (2002); 29-48 0034-7426 .
dc.rights.spa.fl_str_mv Derechos reservados - Universidad Nacional de Colombia
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dc.rights.license.spa.fl_str_mv Atribución-NoComercial 4.0 Internacional
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dc.rights.accessrights.spa.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv Atribución-NoComercial 4.0 Internacional
Derechos reservados - Universidad Nacional de Colombia
http://creativecommons.org/licenses/by-nc/4.0/
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.mimetype.spa.fl_str_mv application/pdf
dc.publisher.spa.fl_str_mv Universidad Nacuional de Colombia; Sociedad Colombiana de matemáticas
institution Universidad Nacional de Colombia
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repository.name.fl_str_mv Repositorio Institucional Universidad Nacional de Colombia
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