Remarks on weakly continuous functions in banach spaces

Let E be a Banach space over the real.s and let E* be the dual space. Le t = (∝1 , …,  ∝n) be a finite sequence of non-negative integers and u = (u1, …,un) a finite sequence of elements in E*. The notation u∝ = u1 u1∝1  … u1∝1 … un∝n is standard and will used throughout. We will write  |∝| = ∝1 + …...

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Autores:
Restrepo, Guillermo
Tipo de recurso:
Article of journal
Fecha de publicación:
1968
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/42076
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/42076
http://bdigital.unal.edu.co/32173/
Palabra clave:
Finite sequence
polynomial
real function
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
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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-d991b0671d463002019-06-28T10:30:09Z2019-06-28T10:30:09Z1968https://repositorio.unal.edu.co/handle/unal/42076http://bdigital.unal.edu.co/32173/Let E be a Banach space over the real.s and let E* be the dual space. Le t = (∝1 , …,  ∝n) be a finite sequence of non-negative integers and u = (u1, …,un) a finite sequence of elements in E*. The notation u∝ = u1 u1∝1  … u1∝1 … un∝n is standard and will used throughout. We will write  |∝| = ∝1 + … + ∝n .  Any real valued function in E of the form   P = ∑ (|∝|≤n) a∝ u∝ , a∝  a real number, is said to be a polynomial. Clearly, every polynomial is weakly continuous.application/pdfspaUniversidad Nacuional de Colombia; Sociedad Colombiana de matemáticashttp://revistas.unal.edu.co/index.php/recolma/article/view/31545Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de MatemáticasRevista Colombiana de MatemáticasRevista Colombiana de Matemáticas; Vol. 2, núm. 4 (1968); 166-168 0034-7426Restrepo, Guillermo (1968) Remarks on weakly continuous functions in banach spaces. Revista Colombiana de Matemáticas; Vol. 2, núm. 4 (1968); 166-168 0034-7426 .Remarks on weakly continuous functions in banach spacesArtículo 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/ARTFinite sequencepolynomialreal functionORIGINAL31545-114729-1-PB.pdfapplication/pdf909241https://repositorio.unal.edu.co/bitstream/unal/42076/1/31545-114729-1-PB.pdfe00b97e22a7dba437c46098eada92b46MD51THUMBNAIL31545-114729-1-PB.pdf.jpg31545-114729-1-PB.pdf.jpgGenerated Thumbnailimage/jpeg7838https://repositorio.unal.edu.co/bitstream/unal/42076/2/31545-114729-1-PB.pdf.jpge1ef914f6cc88eb0ea114d232c16979cMD52unal/42076oai:repositorio.unal.edu.co:unal/420762024-02-03 23:06:41.619Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co
dc.title.spa.fl_str_mv Remarks on weakly continuous functions in banach spaces
title Remarks on weakly continuous functions in banach spaces
spellingShingle Remarks on weakly continuous functions in banach spaces
Finite sequence
polynomial
real function
title_short Remarks on weakly continuous functions in banach spaces
title_full Remarks on weakly continuous functions in banach spaces
title_fullStr Remarks on weakly continuous functions in banach spaces
title_full_unstemmed Remarks on weakly continuous functions in banach spaces
title_sort Remarks on weakly continuous functions in banach spaces
dc.creator.fl_str_mv Restrepo, Guillermo
dc.contributor.author.spa.fl_str_mv Restrepo, Guillermo
dc.subject.proposal.spa.fl_str_mv Finite sequence
polynomial
real function
topic Finite sequence
polynomial
real function
description Let E be a Banach space over the real.s and let E* be the dual space. Le t = (∝1 , …,  ∝n) be a finite sequence of non-negative integers and u = (u1, …,un) a finite sequence of elements in E*. The notation u∝ = u1 u1∝1  … u1∝1 … un∝n is standard and will used throughout. We will write  |∝| = ∝1 + … + ∝n .  Any real valued function in E of the form   P = ∑ (|∝|≤n) a∝ u∝ , a∝  a real number, is said to be a polynomial. Clearly, every polynomial is weakly continuous.
publishDate 1968
dc.date.issued.spa.fl_str_mv 1968
dc.date.accessioned.spa.fl_str_mv 2019-06-28T10:30:09Z
dc.date.available.spa.fl_str_mv 2019-06-28T10:30:09Z
dc.type.spa.fl_str_mv Artículo de revista
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url https://repositorio.unal.edu.co/handle/unal/42076
http://bdigital.unal.edu.co/32173/
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/31545
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. 2, núm. 4 (1968); 166-168 0034-7426
dc.relation.references.spa.fl_str_mv Restrepo, Guillermo (1968) Remarks on weakly continuous functions in banach spaces. Revista Colombiana de Matemáticas; Vol. 2, núm. 4 (1968); 166-168 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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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
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dc.publisher.spa.fl_str_mv Universidad Nacuional de Colombia; Sociedad Colombiana de matemáticas
institution Universidad Nacional de Colombia
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