Una nota sobre espacios localmente completos

Using standard locally convex spaces techniques, it is shown that local completeness is preserved under the formation of closed subspaces, projective limits, Cartesian products and locally convex direct sums. We also prove that if every bounded set in a locally convex space is contained in a bounded...

Full description

Autores:
Gilsdorf, Thomas E.
Tipo de recurso:
Article of journal
Fecha de publicación:
1995
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/43520
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/43520
http://bdigital.unal.edu.co/33618/
Palabra clave:
Locally complete
Banach disk
locally reflexive
Localmente completa
disco de Banach
reflexiva localmente
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
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oai_identifier_str oai:repositorio.unal.edu.co:unal/43520
network_acronym_str UNACIONAL2
network_name_str Universidad Nacional de Colombia
repository_id_str
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_abf2Gilsdorf, Thomas E.8e2194b6-ba47-4f6b-b79a-a8c6f6d255123002019-06-28T12:05:05Z2019-06-28T12:05:05Z1995https://repositorio.unal.edu.co/handle/unal/43520http://bdigital.unal.edu.co/33618/Using standard locally convex spaces techniques, it is shown that local completeness is preserved under the formation of closed subspaces, projective limits, Cartesian products and locally convex direct sums. We also prove that if every bounded set in a locally convex space is contained in a bounded disk that generates a reflexive space, then the space is semi-reflexive and that a regular inductive limit of such locally reflexive spaces is also semi-reflexive.application/pdfspaUniversidad Nacuional de Colombia; Sociedad Colombiana de matemáticashttp://revistas.unal.edu.co/index.php/recolma/article/view/33495Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de MatemáticasRevista Colombiana de MatemáticasRevista Colombiana de Matemáticas; Vol. 29, núm. 2 (1995); 113-117 0034-7426Gilsdorf, Thomas E. (1995) Una nota sobre espacios localmente completos. Revista Colombiana de Matemáticas; Vol. 29, núm. 2 (1995); 113-117 0034-7426 .Una nota sobre espacios localmente completosArtículo 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/ARTLocally completeBanach disklocally reflexiveLocalmente completadisco de Banachreflexiva localmenteORIGINAL33495-124254-1-PB.pdfapplication/pdf2034218https://repositorio.unal.edu.co/bitstream/unal/43520/1/33495-124254-1-PB.pdf191e5ceb5117f01c152b9e2aa91f7710MD51THUMBNAIL33495-124254-1-PB.pdf.jpg33495-124254-1-PB.pdf.jpgGenerated Thumbnailimage/jpeg6918https://repositorio.unal.edu.co/bitstream/unal/43520/2/33495-124254-1-PB.pdf.jpgadc08a024029d5cf5cce88c3090cb3e2MD52unal/43520oai:repositorio.unal.edu.co:unal/435202023-02-13 23:03:47.935Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co
dc.title.spa.fl_str_mv Una nota sobre espacios localmente completos
title Una nota sobre espacios localmente completos
spellingShingle Una nota sobre espacios localmente completos
Locally complete
Banach disk
locally reflexive
Localmente completa
disco de Banach
reflexiva localmente
title_short Una nota sobre espacios localmente completos
title_full Una nota sobre espacios localmente completos
title_fullStr Una nota sobre espacios localmente completos
title_full_unstemmed Una nota sobre espacios localmente completos
title_sort Una nota sobre espacios localmente completos
dc.creator.fl_str_mv Gilsdorf, Thomas E.
dc.contributor.author.spa.fl_str_mv Gilsdorf, Thomas E.
dc.subject.proposal.spa.fl_str_mv Locally complete
Banach disk
locally reflexive
Localmente completa
disco de Banach
reflexiva localmente
topic Locally complete
Banach disk
locally reflexive
Localmente completa
disco de Banach
reflexiva localmente
description Using standard locally convex spaces techniques, it is shown that local completeness is preserved under the formation of closed subspaces, projective limits, Cartesian products and locally convex direct sums. We also prove that if every bounded set in a locally convex space is contained in a bounded disk that generates a reflexive space, then the space is semi-reflexive and that a regular inductive limit of such locally reflexive spaces is also semi-reflexive.
publishDate 1995
dc.date.issued.spa.fl_str_mv 1995
dc.date.accessioned.spa.fl_str_mv 2019-06-28T12:05:05Z
dc.date.available.spa.fl_str_mv 2019-06-28T12:05:05Z
dc.type.spa.fl_str_mv Artículo de revista
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format http://purl.org/coar/resource_type/c_6501
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url https://repositorio.unal.edu.co/handle/unal/43520
http://bdigital.unal.edu.co/33618/
dc.language.iso.spa.fl_str_mv spa
language spa
dc.relation.spa.fl_str_mv http://revistas.unal.edu.co/index.php/recolma/article/view/33495
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. 29, núm. 2 (1995); 113-117 0034-7426
dc.relation.references.spa.fl_str_mv Gilsdorf, Thomas E. (1995) Una nota sobre espacios localmente completos. Revista Colombiana de Matemáticas; Vol. 29, núm. 2 (1995); 113-117 0034-7426 .
dc.rights.spa.fl_str_mv Derechos reservados - Universidad Nacional de Colombia
dc.rights.coar.fl_str_mv http://purl.org/coar/access_right/c_abf2
dc.rights.license.spa.fl_str_mv Atribución-NoComercial 4.0 Internacional
dc.rights.uri.spa.fl_str_mv http://creativecommons.org/licenses/by-nc/4.0/
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
bitstream.url.fl_str_mv https://repositorio.unal.edu.co/bitstream/unal/43520/1/33495-124254-1-PB.pdf
https://repositorio.unal.edu.co/bitstream/unal/43520/2/33495-124254-1-PB.pdf.jpg
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repository.name.fl_str_mv Repositorio Institucional Universidad Nacional de Colombia
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