The J-numerical range of a J-Hermitian matrix and related inequalities
Autor(a) principal: | |
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Data de Publicação: | 2008 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | http://hdl.handle.net/10316/4585 https://doi.org/10.1016/j.laa.2008.01.027 |
Resumo: | Recently, indefinite versions of classical inequalities of Schur, Ky Fan and Rayleigh-Ritz on Hermitian matrices have been obtained for J-Hermitian matrices that are J-unitarily diagonalizable, J=Ir[circle plus operator](-Is),r,s>0. The inequalities were obtained in the context of the theory of numerical ranges of operators on indefinite inner product spaces. In this paper, the subject is revisited, relaxing the constraint of the matrices being J-unitarily diagonalizable. |
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The J-numerical range of a J-Hermitian matrix and related inequalitiesKrein spaceJ-numerical rangeJ-Hermitian matrixRecently, indefinite versions of classical inequalities of Schur, Ky Fan and Rayleigh-Ritz on Hermitian matrices have been obtained for J-Hermitian matrices that are J-unitarily diagonalizable, J=Ir[circle plus operator](-Is),r,s>0. The inequalities were obtained in the context of the theory of numerical ranges of operators on indefinite inner product spaces. In this paper, the subject is revisited, relaxing the constraint of the matrices being J-unitarily diagonalizable.http://www.sciencedirect.com/science/article/B6V0R-4S0PX90-8/1/064ad8a9cee017320ee6aefd3de429a52008info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleaplication/PDFhttp://hdl.handle.net/10316/4585http://hdl.handle.net/10316/4585https://doi.org/10.1016/j.laa.2008.01.027engLinear Algebra and its Applications. 428:11-12 (2008) 2995-3014Nakazato, HiroshiBebiano, NatáliaProvidência, João dainfo: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:RCAAP2020-11-06T16:49:13Zoai:estudogeral.uc.pt:10316/4585Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T21:00:47.039338Repositório 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 |
The J-numerical range of a J-Hermitian matrix and related inequalities |
title |
The J-numerical range of a J-Hermitian matrix and related inequalities |
spellingShingle |
The J-numerical range of a J-Hermitian matrix and related inequalities Nakazato, Hiroshi Krein space J-numerical range J-Hermitian matrix |
title_short |
The J-numerical range of a J-Hermitian matrix and related inequalities |
title_full |
The J-numerical range of a J-Hermitian matrix and related inequalities |
title_fullStr |
The J-numerical range of a J-Hermitian matrix and related inequalities |
title_full_unstemmed |
The J-numerical range of a J-Hermitian matrix and related inequalities |
title_sort |
The J-numerical range of a J-Hermitian matrix and related inequalities |
author |
Nakazato, Hiroshi |
author_facet |
Nakazato, Hiroshi Bebiano, Natália Providência, João da |
author_role |
author |
author2 |
Bebiano, Natália Providência, João da |
author2_role |
author author |
dc.contributor.author.fl_str_mv |
Nakazato, Hiroshi Bebiano, Natália Providência, João da |
dc.subject.por.fl_str_mv |
Krein space J-numerical range J-Hermitian matrix |
topic |
Krein space J-numerical range J-Hermitian matrix |
description |
Recently, indefinite versions of classical inequalities of Schur, Ky Fan and Rayleigh-Ritz on Hermitian matrices have been obtained for J-Hermitian matrices that are J-unitarily diagonalizable, J=Ir[circle plus operator](-Is),r,s>0. The inequalities were obtained in the context of the theory of numerical ranges of operators on indefinite inner product spaces. In this paper, the subject is revisited, relaxing the constraint of the matrices being J-unitarily diagonalizable. |
publishDate |
2008 |
dc.date.none.fl_str_mv |
2008 |
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/10316/4585 http://hdl.handle.net/10316/4585 https://doi.org/10.1016/j.laa.2008.01.027 |
url |
http://hdl.handle.net/10316/4585 https://doi.org/10.1016/j.laa.2008.01.027 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Linear Algebra and its Applications. 428:11-12 (2008) 2995-3014 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
aplication/PDF |
dc.source.none.fl_str_mv |
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Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
instacron_str |
RCAAP |
institution |
RCAAP |
reponame_str |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
collection |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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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1799133898395877376 |