Spectral inequalities for Kubo-Ando operator means

Detalhes bibliográficos
Autor(a) principal: Lemos, Rute
Data de Publicação: 2020
Outros Autores: Soares, Graça
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10773/30683
Resumo: Eigenvalue and singular value inequalities, involving Kubo-Ando operator connections or means, are established. Previous results from Lemos and Soares in 2018 are generalized or complemented, some log-majorizations are included. As a consequence, a refinement of an independent result by Ando and by Visick in 1995 on the eigenvalues of the Hadamard product is derived. Some singular value inequalities by Zou in 2017 are further extended.
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spelling Spectral inequalities for Kubo-Ando operator meansEigenvalue and singular value inequalitiesHadamard productKubo-Ando theoryLog-majorizationLöwner-Heinz inequalityOperator connectionsOperator meansEigenvalue and singular value inequalities, involving Kubo-Ando operator connections or means, are established. Previous results from Lemos and Soares in 2018 are generalized or complemented, some log-majorizations are included. As a consequence, a refinement of an independent result by Ando and by Visick in 1995 on the eigenvalues of the Hadamard product is derived. Some singular value inequalities by Zou in 2017 are further extended.Elsevier2021-02-24T09:59:06Z2020-12-15T00:00:00Z2020-12-15info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/30683eng0024-379510.1016/j.laa.2020.08.002Lemos, RuteSoares, Graçainfo:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2024-02-22T11:56:53Zoai:ria.ua.pt:10773/30683Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T03:01:45.383990Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Spectral inequalities for Kubo-Ando operator means
title Spectral inequalities for Kubo-Ando operator means
spellingShingle Spectral inequalities for Kubo-Ando operator means
Lemos, Rute
Eigenvalue and singular value inequalities
Hadamard product
Kubo-Ando theory
Log-majorization
Löwner-Heinz inequality
Operator connections
Operator means
title_short Spectral inequalities for Kubo-Ando operator means
title_full Spectral inequalities for Kubo-Ando operator means
title_fullStr Spectral inequalities for Kubo-Ando operator means
title_full_unstemmed Spectral inequalities for Kubo-Ando operator means
title_sort Spectral inequalities for Kubo-Ando operator means
author Lemos, Rute
author_facet Lemos, Rute
Soares, Graça
author_role author
author2 Soares, Graça
author2_role author
dc.contributor.author.fl_str_mv Lemos, Rute
Soares, Graça
dc.subject.por.fl_str_mv Eigenvalue and singular value inequalities
Hadamard product
Kubo-Ando theory
Log-majorization
Löwner-Heinz inequality
Operator connections
Operator means
topic Eigenvalue and singular value inequalities
Hadamard product
Kubo-Ando theory
Log-majorization
Löwner-Heinz inequality
Operator connections
Operator means
description Eigenvalue and singular value inequalities, involving Kubo-Ando operator connections or means, are established. Previous results from Lemos and Soares in 2018 are generalized or complemented, some log-majorizations are included. As a consequence, a refinement of an independent result by Ando and by Visick in 1995 on the eigenvalues of the Hadamard product is derived. Some singular value inequalities by Zou in 2017 are further extended.
publishDate 2020
dc.date.none.fl_str_mv 2020-12-15T00:00:00Z
2020-12-15
2021-02-24T09:59:06Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10773/30683
url http://hdl.handle.net/10773/30683
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0024-3795
10.1016/j.laa.2020.08.002
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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