On the hyperbolicity of the Krein space numerical range

Detalhes bibliográficos
Autor(a) principal: Bebiano, N.
Data de Publicação: 2023
Outros Autores: Lemos, R., Soares, G.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10773/40344
Resumo: In this paper a necessary and sufficient condition for hyperbolicity of the indefinite numerical range is established. As a consequence, an indefinite version of Brown–Spitkovsky theorem stating the ellipticity of the numerical range of certain tridiagonal matrices is revisited. This result leads to necessary and sufficient conditions for hyperbolicity of indefinite numerical ranges of new classes of tridiagonal matrices.
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spelling On the hyperbolicity of the Krein space numerical rangeIndefinite numerical rangeClassical numerical rangeJ-Hermitian matrixHyperbolical range theoremIn this paper a necessary and sufficient condition for hyperbolicity of the indefinite numerical range is established. As a consequence, an indefinite version of Brown–Spitkovsky theorem stating the ellipticity of the numerical range of certain tridiagonal matrices is revisited. This result leads to necessary and sufficient conditions for hyperbolicity of indefinite numerical ranges of new classes of tridiagonal matrices.Taylor & Francis2024-01-29T17:10:27Z2023-01-01T00:00:00Z2023info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/40344eng0308-108710.1080/03081087.2023.2251648Bebiano, N.Lemos, R.Soares, G.info: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:RCAAP2024-02-22T12:18:51Zoai:ria.ua.pt:10773/40344Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T03:10:20.506934Repositório 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 On the hyperbolicity of the Krein space numerical range
title On the hyperbolicity of the Krein space numerical range
spellingShingle On the hyperbolicity of the Krein space numerical range
Bebiano, N.
Indefinite numerical range
Classical numerical range
J-Hermitian matrix
Hyperbolical range theorem
title_short On the hyperbolicity of the Krein space numerical range
title_full On the hyperbolicity of the Krein space numerical range
title_fullStr On the hyperbolicity of the Krein space numerical range
title_full_unstemmed On the hyperbolicity of the Krein space numerical range
title_sort On the hyperbolicity of the Krein space numerical range
author Bebiano, N.
author_facet Bebiano, N.
Lemos, R.
Soares, G.
author_role author
author2 Lemos, R.
Soares, G.
author2_role author
author
dc.contributor.author.fl_str_mv Bebiano, N.
Lemos, R.
Soares, G.
dc.subject.por.fl_str_mv Indefinite numerical range
Classical numerical range
J-Hermitian matrix
Hyperbolical range theorem
topic Indefinite numerical range
Classical numerical range
J-Hermitian matrix
Hyperbolical range theorem
description In this paper a necessary and sufficient condition for hyperbolicity of the indefinite numerical range is established. As a consequence, an indefinite version of Brown–Spitkovsky theorem stating the ellipticity of the numerical range of certain tridiagonal matrices is revisited. This result leads to necessary and sufficient conditions for hyperbolicity of indefinite numerical ranges of new classes of tridiagonal matrices.
publishDate 2023
dc.date.none.fl_str_mv 2023-01-01T00:00:00Z
2023
2024-01-29T17:10:27Z
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/10773/40344
url http://hdl.handle.net/10773/40344
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0308-1087
10.1080/03081087.2023.2251648
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 Taylor & Francis
publisher.none.fl_str_mv Taylor & Francis
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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