A proof of the inverse function theorem

The purpose of this note is to give a proof, hopefully new, of the inverse function theorem as an application of the local existence theorem for differential equations. If Ω  is an open subset of a Banach space E and T: Ω → E is of class C1, then T is locally bounded and satisfies a Lipschitz condit...

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Autores:
Restrepo Sierra, Guillermo
Tipo de recurso:
Article of journal
Fecha de publicación:
1971
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/42195
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/42195
http://bdigital.unal.edu.co/32292/
Palabra clave:
function theorem
theorem
differential equations
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_abf2Restrepo Sierra, Guillermo52b04c18-12a7-4e92-aff8-17fec7399e433002019-06-28T10:36:39Z2019-06-28T10:36:39Z1971https://repositorio.unal.edu.co/handle/unal/42195http://bdigital.unal.edu.co/32292/The purpose of this note is to give a proof, hopefully new, of the inverse function theorem as an application of the local existence theorem for differential equations. If Ω  is an open subset of a Banach space E and T: Ω → E is of class C1, then T is locally bounded and satisfies a Lipschitz condition at every point.application/pdfspaUniversidad Nacuional de Colombia; Sociedad Colombiana de matemáticashttp://revistas.unal.edu.co/index.php/recolma/article/view/31783Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de MatemáticasRevista Colombiana de MatemáticasRevista Colombiana de Matemáticas; Vol. 5, núm. 2 (1971); 19-23 0034-7426Restrepo Sierra, Guillermo (1971) A proof of the inverse function theorem. Revista Colombiana de Matemáticas; Vol. 5, núm. 2 (1971); 19-23 0034-7426 .A proof of the inverse function theoremArtículo 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/ARTfunction theoremtheoremdifferential equationsORIGINAL31783-116073-1-PB.pdfapplication/pdf904336https://repositorio.unal.edu.co/bitstream/unal/42195/1/31783-116073-1-PB.pdf2d522d4a6681b4c016dd0890357b9b68MD51THUMBNAIL31783-116073-1-PB.pdf.jpg31783-116073-1-PB.pdf.jpgGenerated Thumbnailimage/jpeg6791https://repositorio.unal.edu.co/bitstream/unal/42195/2/31783-116073-1-PB.pdf.jpg7ce6518e6aa8c73e8bb09c9e9c46444cMD52unal/42195oai:repositorio.unal.edu.co:unal/421952023-02-06 23:15:11.653Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co
dc.title.spa.fl_str_mv A proof of the inverse function theorem
title A proof of the inverse function theorem
spellingShingle A proof of the inverse function theorem
function theorem
theorem
differential equations
title_short A proof of the inverse function theorem
title_full A proof of the inverse function theorem
title_fullStr A proof of the inverse function theorem
title_full_unstemmed A proof of the inverse function theorem
title_sort A proof of the inverse function theorem
dc.creator.fl_str_mv Restrepo Sierra, Guillermo
dc.contributor.author.spa.fl_str_mv Restrepo Sierra, Guillermo
dc.subject.proposal.spa.fl_str_mv function theorem
theorem
differential equations
topic function theorem
theorem
differential equations
description The purpose of this note is to give a proof, hopefully new, of the inverse function theorem as an application of the local existence theorem for differential equations. If Ω  is an open subset of a Banach space E and T: Ω → E is of class C1, then T is locally bounded and satisfies a Lipschitz condition at every point.
publishDate 1971
dc.date.issued.spa.fl_str_mv 1971
dc.date.accessioned.spa.fl_str_mv 2019-06-28T10:36:39Z
dc.date.available.spa.fl_str_mv 2019-06-28T10:36:39Z
dc.type.spa.fl_str_mv Artículo de revista
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http://bdigital.unal.edu.co/32292/
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dc.relation.spa.fl_str_mv http://revistas.unal.edu.co/index.php/recolma/article/view/31783
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. 5, núm. 2 (1971); 19-23 0034-7426
dc.relation.references.spa.fl_str_mv Restrepo Sierra, Guillermo (1971) A proof of the inverse function theorem. Revista Colombiana de Matemáticas; Vol. 5, núm. 2 (1971); 19-23 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
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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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