On spectral properties and extensions of bounded linear operators

If T is a bounded linear operator on some Banach space and T has a bounded extension T on another space. In general, almost nothing can be said concerning the relationship between the spectral properties of T and T. In this paper, we give several sufficient conditions for which a large number of spe...

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Autores:
Carpintero, Carlos
Rosas, Ennis
Sanabria, José
García, Orlando
Rodríguez, Jorge
Tipo de recurso:
Article of journal
Fecha de publicación:
2015
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/61892
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/61892
http://bdigital.unal.edu.co/60704/
Palabra clave:
51 Matemáticas / Mathematics
Spectral properties
single-valued extension property
poles of the resolvent
semi Fredholm operator
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_abf2Carpintero, Carlos26d854eb-a269-459c-af02-ae745de2800d300Rosas, Ennis1e01cf43-eadd-4dba-8a96-0fd902e393f0300Sanabria, Joséb1023e62-d1d9-4e3d-8702-20d68da300a3300García, Orlando1b208959-a1e3-4b0a-b401-aa9f6566920d300Rodríguez, Jorgee9f400f7-bf26-4b90-9098-f3fd639264453002019-07-02T20:47:01Z2019-07-02T20:47:01Z2015-07-01ISSN: 2357-6529https://repositorio.unal.edu.co/handle/unal/61892http://bdigital.unal.edu.co/60704/If T is a bounded linear operator on some Banach space and T has a bounded extension T on another space. In general, almost nothing can be said concerning the relationship between the spectral properties of T and T. In this paper, we give several sufficient conditions for which a large number of spectral properties introduced recently are transmitted from an operator T to T and vice-versa.application/pdfspaUniversidad Nacional de Colombia - Sede Bogotá - Facultad de Ciencias - Departamento de Matemáticashttps://revistas.unal.edu.co/index.php/bolma/article/view/54975Universidad Nacional de Colombia Revistas electrónicas UN Boletín de MatemáticasBoletín de MatemáticasCarpintero, Carlos and Rosas, Ennis and Sanabria, José and García, Orlando and Rodríguez, Jorge (2015) On spectral properties and extensions of bounded linear operators. Boletín de Matemáticas, 22 (2). pp. 177-190. ISSN 2357-652951 Matemáticas / MathematicsSpectral propertiessingle-valued extension propertypoles of the resolventsemi Fredholm operatorOn spectral properties and extensions of bounded linear operatorsArtículo 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/ARTORIGINAL54975-278530-1-SM.pdfapplication/pdf310372https://repositorio.unal.edu.co/bitstream/unal/61892/1/54975-278530-1-SM.pdf46b25eb73defdc0f6d6bd4fce5c5d5eaMD51THUMBNAIL54975-278530-1-SM.pdf.jpg54975-278530-1-SM.pdf.jpgGenerated Thumbnailimage/jpeg5478https://repositorio.unal.edu.co/bitstream/unal/61892/2/54975-278530-1-SM.pdf.jpg60006da55ae00f01485dbcbb8839193eMD52unal/61892oai:repositorio.unal.edu.co:unal/618922024-04-20 23:26:18.384Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co
dc.title.spa.fl_str_mv On spectral properties and extensions of bounded linear operators
title On spectral properties and extensions of bounded linear operators
spellingShingle On spectral properties and extensions of bounded linear operators
51 Matemáticas / Mathematics
Spectral properties
single-valued extension property
poles of the resolvent
semi Fredholm operator
title_short On spectral properties and extensions of bounded linear operators
title_full On spectral properties and extensions of bounded linear operators
title_fullStr On spectral properties and extensions of bounded linear operators
title_full_unstemmed On spectral properties and extensions of bounded linear operators
title_sort On spectral properties and extensions of bounded linear operators
dc.creator.fl_str_mv Carpintero, Carlos
Rosas, Ennis
Sanabria, José
García, Orlando
Rodríguez, Jorge
dc.contributor.author.spa.fl_str_mv Carpintero, Carlos
Rosas, Ennis
Sanabria, José
García, Orlando
Rodríguez, Jorge
dc.subject.ddc.spa.fl_str_mv 51 Matemáticas / Mathematics
topic 51 Matemáticas / Mathematics
Spectral properties
single-valued extension property
poles of the resolvent
semi Fredholm operator
dc.subject.proposal.spa.fl_str_mv Spectral properties
single-valued extension property
poles of the resolvent
semi Fredholm operator
description If T is a bounded linear operator on some Banach space and T has a bounded extension T on another space. In general, almost nothing can be said concerning the relationship between the spectral properties of T and T. In this paper, we give several sufficient conditions for which a large number of spectral properties introduced recently are transmitted from an operator T to T and vice-versa.
publishDate 2015
dc.date.issued.spa.fl_str_mv 2015-07-01
dc.date.accessioned.spa.fl_str_mv 2019-07-02T20:47:01Z
dc.date.available.spa.fl_str_mv 2019-07-02T20:47:01Z
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
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dc.identifier.issn.spa.fl_str_mv ISSN: 2357-6529
dc.identifier.uri.none.fl_str_mv https://repositorio.unal.edu.co/handle/unal/61892
dc.identifier.eprints.spa.fl_str_mv http://bdigital.unal.edu.co/60704/
identifier_str_mv ISSN: 2357-6529
url https://repositorio.unal.edu.co/handle/unal/61892
http://bdigital.unal.edu.co/60704/
dc.language.iso.spa.fl_str_mv spa
language spa
dc.relation.spa.fl_str_mv https://revistas.unal.edu.co/index.php/bolma/article/view/54975
dc.relation.ispartof.spa.fl_str_mv Universidad Nacional de Colombia Revistas electrónicas UN Boletín de Matemáticas
Boletín de Matemáticas
dc.relation.references.spa.fl_str_mv Carpintero, Carlos and Rosas, Ennis and Sanabria, José and García, Orlando and Rodríguez, Jorge (2015) On spectral properties and extensions of bounded linear operators. Boletín de Matemáticas, 22 (2). pp. 177-190. ISSN 2357-6529
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 Nacional de Colombia - Sede Bogotá - Facultad de Ciencias - Departamento de Matemáticas
institution Universidad Nacional de Colombia
bitstream.url.fl_str_mv https://repositorio.unal.edu.co/bitstream/unal/61892/1/54975-278530-1-SM.pdf
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repository.name.fl_str_mv Repositorio Institucional Universidad Nacional de Colombia
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