More on geometry of Krein space C-numerical range

Detalhes bibliográficos
Autor(a) principal: Guterman, Alexander
Data de Publicação: 2019
Outros Autores: Lemos, Rute, 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/10773/27010
Resumo: For n × n complex matrices A, C and H, where H is non-singular Hermitian, the Krein space C-numerical range of A induced by H is the subset of the complex plane given by {Tr(CU^[*]AU: U^{-1}= U^[*] )} with U^[*]=H^{-1}U*H the H-adjoint matrix of U. We revisit several results on the geometry of Krein space C-numerical range of A and in particular we obtain a condition for the Krein space C-numerical range to be a subset of the real line.
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spelling More on geometry of Krein space C-numerical rangeKrein space C-numerical rangeIndefininte inner productJ-Hermitian matrixFor n × n complex matrices A, C and H, where H is non-singular Hermitian, the Krein space C-numerical range of A induced by H is the subset of the complex plane given by {Tr(CU^[*]AU: U^{-1}= U^[*] )} with U^[*]=H^{-1}U*H the H-adjoint matrix of U. We revisit several results on the geometry of Krein space C-numerical range of A and in particular we obtain a condition for the Krein space C-numerical range to be a subset of the real line.Elsevier2019-11-21T18:31:26Z2019-07-01T00:00:00Z2019-07-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/27010eng0096-300310.1016/j.amc.2019.01.029Guterman, AlexanderLemos, 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:RCAAP2024-02-22T11:52:19Zoai:ria.ua.pt:10773/27010Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T02:59:53.379413Repositório 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 More on geometry of Krein space C-numerical range
title More on geometry of Krein space C-numerical range
spellingShingle More on geometry of Krein space C-numerical range
Guterman, Alexander
Krein space C-numerical range
Indefininte inner product
J-Hermitian matrix
title_short More on geometry of Krein space C-numerical range
title_full More on geometry of Krein space C-numerical range
title_fullStr More on geometry of Krein space C-numerical range
title_full_unstemmed More on geometry of Krein space C-numerical range
title_sort More on geometry of Krein space C-numerical range
author Guterman, Alexander
author_facet Guterman, Alexander
Lemos, Rute
Soares, Graça
author_role author
author2 Lemos, Rute
Soares, Graça
author2_role author
author
dc.contributor.author.fl_str_mv Guterman, Alexander
Lemos, Rute
Soares, Graça
dc.subject.por.fl_str_mv Krein space C-numerical range
Indefininte inner product
J-Hermitian matrix
topic Krein space C-numerical range
Indefininte inner product
J-Hermitian matrix
description For n × n complex matrices A, C and H, where H is non-singular Hermitian, the Krein space C-numerical range of A induced by H is the subset of the complex plane given by {Tr(CU^[*]AU: U^{-1}= U^[*] )} with U^[*]=H^{-1}U*H the H-adjoint matrix of U. We revisit several results on the geometry of Krein space C-numerical range of A and in particular we obtain a condition for the Krein space C-numerical range to be a subset of the real line.
publishDate 2019
dc.date.none.fl_str_mv 2019-11-21T18:31:26Z
2019-07-01T00:00:00Z
2019-07-01
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/10773/27010
url http://hdl.handle.net/10773/27010
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0096-3003
10.1016/j.amc.2019.01.029
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
instacron:RCAAP
instname_str 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
repository.mail.fl_str_mv
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