On the convergence of galerkin approximations

Let X be a separable Banach space over the reals and let X· be its dual. If x ϵ  X and u ϵ X* we will write and lt;x, u and gt; instead of u (x).  Also, if P: X → X is a linear operator we will denote by  P* the adjoint from X* into X* which is defined by and lt;x, P* u and gt; = and lt;P x, u and g...

Full description

Autores:
Restrepo, Guillermo
Tipo de recurso:
Article of journal
Fecha de publicación:
1970
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/42153
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/42153
http://bdigital.unal.edu.co/32250/
Palabra clave:
linear operator
finite dimensiona
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
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oai_identifier_str oai:repositorio.unal.edu.co:unal/42153
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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_abf2Restrepo, Guillermoac5eb35a-f00f-4a62-8914-d991b0671d463002019-06-28T10:34:26Z2019-06-28T10:34:26Z1970https://repositorio.unal.edu.co/handle/unal/42153http://bdigital.unal.edu.co/32250/Let X be a separable Banach space over the reals and let X· be its dual. If x ϵ  X and u ϵ X* we will write and lt;x, u and gt; instead of u (x).  Also, if P: X → X is a linear operator we will denote by  P* the adjoint from X* into X* which is defined by and lt;x, P* u and gt; = and lt;P x, u and gt;. The strong convergence in X will be denoted by xn → x, the weak convergence in X by xnw → x and the w* - convergence in X* by  xnw*→ x.We sat that X has property (B) if there is a sequence { Pn } of bounded linear operator from X into itself such that,application/pdfspaUniversidad Nacuional de Colombia; Sociedad Colombiana de matemáticashttp://revistas.unal.edu.co/index.php/recolma/article/view/31732Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de MatemáticasRevista Colombiana de MatemáticasRevista Colombiana de Matemáticas; Vol. 4, núm. 1 (1970); 1-6 0034-7426Restrepo, Guillermo (1970) On the convergence of galerkin approximations. Revista Colombiana de Matemáticas; Vol. 4, núm. 1 (1970); 1-6 0034-7426 .On the convergence of galerkin approximationsArtículo 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/ARTlinear operatorfinite dimensionaORIGINAL31732-115771-1-PB.pdfapplication/pdf2114280https://repositorio.unal.edu.co/bitstream/unal/42153/1/31732-115771-1-PB.pdf988e09bb4a1d5d1e39c99da060a43a0eMD51THUMBNAIL31732-115771-1-PB.pdf.jpg31732-115771-1-PB.pdf.jpgGenerated Thumbnailimage/jpeg8135https://repositorio.unal.edu.co/bitstream/unal/42153/2/31732-115771-1-PB.pdf.jpgd43a8faceed53f1103c46c07c8087dcaMD52unal/42153oai:repositorio.unal.edu.co:unal/421532023-02-06 23:13:18.136Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co
dc.title.spa.fl_str_mv On the convergence of galerkin approximations
title On the convergence of galerkin approximations
spellingShingle On the convergence of galerkin approximations
linear operator
finite dimensiona
title_short On the convergence of galerkin approximations
title_full On the convergence of galerkin approximations
title_fullStr On the convergence of galerkin approximations
title_full_unstemmed On the convergence of galerkin approximations
title_sort On the convergence of galerkin approximations
dc.creator.fl_str_mv Restrepo, Guillermo
dc.contributor.author.spa.fl_str_mv Restrepo, Guillermo
dc.subject.proposal.spa.fl_str_mv linear operator
finite dimensiona
topic linear operator
finite dimensiona
description Let X be a separable Banach space over the reals and let X· be its dual. If x ϵ  X and u ϵ X* we will write and lt;x, u and gt; instead of u (x).  Also, if P: X → X is a linear operator we will denote by  P* the adjoint from X* into X* which is defined by and lt;x, P* u and gt; = and lt;P x, u and gt;. The strong convergence in X will be denoted by xn → x, the weak convergence in X by xnw → x and the w* - convergence in X* by  xnw*→ x.We sat that X has property (B) if there is a sequence { Pn } of bounded linear operator from X into itself such that,
publishDate 1970
dc.date.issued.spa.fl_str_mv 1970
dc.date.accessioned.spa.fl_str_mv 2019-06-28T10:34:26Z
dc.date.available.spa.fl_str_mv 2019-06-28T10:34:26Z
dc.type.spa.fl_str_mv Artículo de revista
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dc.type.content.spa.fl_str_mv Text
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format http://purl.org/coar/resource_type/c_6501
status_str publishedVersion
dc.identifier.uri.none.fl_str_mv https://repositorio.unal.edu.co/handle/unal/42153
dc.identifier.eprints.spa.fl_str_mv http://bdigital.unal.edu.co/32250/
url https://repositorio.unal.edu.co/handle/unal/42153
http://bdigital.unal.edu.co/32250/
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/31732
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. 4, núm. 1 (1970); 1-6 0034-7426
dc.relation.references.spa.fl_str_mv Restrepo, Guillermo (1970) On the convergence of galerkin approximations. Revista Colombiana de Matemáticas; Vol. 4, núm. 1 (1970); 1-6 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
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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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