The J-numerical range of a J-Hermitian matrix and related inequalities

Detalhes bibliográficos
Autor(a) principal: Nakazato, Hiroshi
Data de Publicação: 2008
Outros Autores: Bebiano, Natália, Providência, João da
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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spelling 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
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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
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