On two properties of the numerical range of a bounded hilbert space operator

Necessary and sufficient conditions are given for the numerical range of a bounded Hilbert space operator to have an empty interior. A sufficient condition for this set to be open is also established.

Autores:
Rodríguez Montes, Jaime
Tipo de recurso:
Article of journal
Fecha de publicación:
1994
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/43500
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/43500
http://bdigital.unal.edu.co/33598/
Palabra clave:
bounded
self-adjoint and normal operators
interior of a set
numerical range and spectrum of an operator
functions of class C1.
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
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oai_identifier_str oai:repositorio.unal.edu.co:unal/43500
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_abf2Rodríguez Montes, Jaime1c6247a1-0750-4b1c-ba45-fb63828bdf1e3002019-06-28T12:03:30Z2019-06-28T12:03:30Z1994https://repositorio.unal.edu.co/handle/unal/43500http://bdigital.unal.edu.co/33598/Necessary and sufficient conditions are given for the numerical range of a bounded Hilbert space operator to have an empty interior. A sufficient condition for this set to be open is also established.application/pdfspaUniversidad Nacuional de Colombia; Sociedad Colombiana de matemáticashttp://revistas.unal.edu.co/index.php/recolma/article/view/33473Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de MatemáticasRevista Colombiana de MatemáticasRevista Colombiana de Matemáticas; Vol. 28, núm. 2 (1994); 83-91 0034-7426Rodríguez Montes, Jaime (1994) On two properties of the numerical range of a bounded hilbert space operator. Revista Colombiana de Matemáticas; Vol. 28, núm. 2 (1994); 83-91 0034-7426 .On two properties of the numerical range of a bounded hilbert space operatorArtículo 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/ARTboundedself-adjoint and normal operatorsinterior of a setnumerical range and spectrum of an operatorfunctions of class C1.ORIGINAL33473-124174-1-PB.pdfapplication/pdf2647580https://repositorio.unal.edu.co/bitstream/unal/43500/1/33473-124174-1-PB.pdf731fc1eefd1a57ed541153b218f8a268MD51THUMBNAIL33473-124174-1-PB.pdf.jpg33473-124174-1-PB.pdf.jpgGenerated Thumbnailimage/jpeg6330https://repositorio.unal.edu.co/bitstream/unal/43500/2/33473-124174-1-PB.pdf.jpgaf76909a5da225a80cc7dd268f3e71d2MD52unal/43500oai:repositorio.unal.edu.co:unal/435002023-02-12 23:04:47.934Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co
dc.title.spa.fl_str_mv On two properties of the numerical range of a bounded hilbert space operator
title On two properties of the numerical range of a bounded hilbert space operator
spellingShingle On two properties of the numerical range of a bounded hilbert space operator
bounded
self-adjoint and normal operators
interior of a set
numerical range and spectrum of an operator
functions of class C1.
title_short On two properties of the numerical range of a bounded hilbert space operator
title_full On two properties of the numerical range of a bounded hilbert space operator
title_fullStr On two properties of the numerical range of a bounded hilbert space operator
title_full_unstemmed On two properties of the numerical range of a bounded hilbert space operator
title_sort On two properties of the numerical range of a bounded hilbert space operator
dc.creator.fl_str_mv Rodríguez Montes, Jaime
dc.contributor.author.spa.fl_str_mv Rodríguez Montes, Jaime
dc.subject.proposal.spa.fl_str_mv bounded
self-adjoint and normal operators
interior of a set
numerical range and spectrum of an operator
functions of class C1.
topic bounded
self-adjoint and normal operators
interior of a set
numerical range and spectrum of an operator
functions of class C1.
description Necessary and sufficient conditions are given for the numerical range of a bounded Hilbert space operator to have an empty interior. A sufficient condition for this set to be open is also established.
publishDate 1994
dc.date.issued.spa.fl_str_mv 1994
dc.date.accessioned.spa.fl_str_mv 2019-06-28T12:03:30Z
dc.date.available.spa.fl_str_mv 2019-06-28T12:03:30Z
dc.type.spa.fl_str_mv Artículo de revista
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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/43500
dc.identifier.eprints.spa.fl_str_mv http://bdigital.unal.edu.co/33598/
url https://repositorio.unal.edu.co/handle/unal/43500
http://bdigital.unal.edu.co/33598/
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/33473
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. 28, núm. 2 (1994); 83-91 0034-7426
dc.relation.references.spa.fl_str_mv Rodríguez Montes, Jaime (1994) On two properties of the numerical range of a bounded hilbert space operator. Revista Colombiana de Matemáticas; Vol. 28, núm. 2 (1994); 83-91 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/43500/1/33473-124174-1-PB.pdf
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repository.name.fl_str_mv Repositorio Institucional Universidad Nacional de Colombia
repository.mail.fl_str_mv repositorio_nal@unal.edu.co
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