Best approximation by diagonal compact operators

Autores
Bottazzi, Tamara Paula; Varela, Alejandro
Año de publicación
2013
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We study the existence and characterization properties of compact Hermitian operators C on a Hilbert space H such that the norm of C is less or equal to that of C + D , for all the real and compact diagonals D in a fixed base of H (in the operator norm). We also exhibit a positive trace class operator that fails to attain the minimum in a compact diagonal.
Fil: Bottazzi, Tamara Paula. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática; Argentina
Fil: Varela, Alejandro. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemáticas; Argentina. Universidad Nacional de General Sarmiento. Instituto de Ciencias; Argentina
Materia
Minimal Compact Operator
Diagonal Operator
Quotient Operator Norm
Best Approximation
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/3338
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/3338
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Best approximation by diagonal compact operatorsBottazzi, Tamara PaulaVarela, AlejandroMinimal Compact OperatorDiagonal OperatorQuotient Operator NormBest Approximationhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We study the existence and characterization properties of compact Hermitian operators C on a Hilbert space H such that the norm of C is less or equal to that of C + D , for all the real and compact diagonals D in a fixed base of H (in the operator norm). We also exhibit a positive trace class operator that fails to attain the minimum in a compact diagonal.Fil: Bottazzi, Tamara Paula. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática; ArgentinaFil: Varela, Alejandro. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemáticas; Argentina. Universidad Nacional de General Sarmiento. Instituto de Ciencias; ArgentinaElsevier Science Inc2013-09info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/3338Bottazzi, Tamara Paula; Varela, Alejandro; Best approximation by diagonal compact operators; Elsevier Science Inc; Linear Algebra And Its Applications; 439; 10; 9-2013; 3044-30560024-3795enginfo:eu-repo/semantics/altIdentifier/doi/info:eu-repo/semantics/altIdentifier/doi/10.1016/j.laa.2013.08.025info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-nd/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:24:12Zoai:ri.conicet.gov.ar:11336/3338instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 10:24:12.903CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Best approximation by diagonal compact operators
title Best approximation by diagonal compact operators
spellingShingle Best approximation by diagonal compact operators
Bottazzi, Tamara Paula
Minimal Compact Operator
Diagonal Operator
Quotient Operator Norm
Best Approximation
title_short Best approximation by diagonal compact operators
title_full Best approximation by diagonal compact operators
title_fullStr Best approximation by diagonal compact operators
title_full_unstemmed Best approximation by diagonal compact operators
title_sort Best approximation by diagonal compact operators
dc.creator.none.fl_str_mv Bottazzi, Tamara Paula
Varela, Alejandro
author Bottazzi, Tamara Paula
author_facet Bottazzi, Tamara Paula
Varela, Alejandro
author_role author
author2 Varela, Alejandro
author2_role author
dc.subject.none.fl_str_mv Minimal Compact Operator
Diagonal Operator
Quotient Operator Norm
Best Approximation
topic Minimal Compact Operator
Diagonal Operator
Quotient Operator Norm
Best Approximation
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We study the existence and characterization properties of compact Hermitian operators C on a Hilbert space H such that the norm of C is less or equal to that of C + D , for all the real and compact diagonals D in a fixed base of H (in the operator norm). We also exhibit a positive trace class operator that fails to attain the minimum in a compact diagonal.
Fil: Bottazzi, Tamara Paula. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática; Argentina
Fil: Varela, Alejandro. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemáticas; Argentina. Universidad Nacional de General Sarmiento. Instituto de Ciencias; Argentina
description We study the existence and characterization properties of compact Hermitian operators C on a Hilbert space H such that the norm of C is less or equal to that of C + D , for all the real and compact diagonals D in a fixed base of H (in the operator norm). We also exhibit a positive trace class operator that fails to attain the minimum in a compact diagonal.
publishDate 2013
dc.date.none.fl_str_mv 2013-09
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/3338
Bottazzi, Tamara Paula; Varela, Alejandro; Best approximation by diagonal compact operators; Elsevier Science Inc; Linear Algebra And Its Applications; 439; 10; 9-2013; 3044-3056
0024-3795
url http://hdl.handle.net/11336/3338
identifier_str_mv Bottazzi, Tamara Paula; Varela, Alejandro; Best approximation by diagonal compact operators; Elsevier Science Inc; Linear Algebra And Its Applications; 439; 10; 9-2013; 3044-3056
0024-3795
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.laa.2013.08.025
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier Science Inc
publisher.none.fl_str_mv Elsevier Science Inc
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
_version_ 1844614238487707648
score 13.070432

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