The star-center of the quaternionic numerical range

Detalhes bibliográficos
Autor(a) principal: Carvalho, L.
Data de Publicação: 2020
Outros Autores: Diogo, C., Mendes, S.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10071/20623
Resumo: In this paper we prove that the quaternionic numerical range is always star-shaped and its star-center is given by the equivalence classes of the star-center of the bild. We determine the star-center of the bild, and consequently of the numerical range, by showing that the geometrical shape of the upper part of the center is defined by two lines, tangents to the lower bild.
id RCAP_b0cad97d16717e9df7af45644672b560
oai_identifier_str oai:repositorio.iscte-iul.pt:10071/20623
network_acronym_str RCAP
network_name_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository_id_str
spelling The star-center of the quaternionic numerical rangeQuaternionsNumerical rangeStar-shapednessIn this paper we prove that the quaternionic numerical range is always star-shaped and its star-center is given by the equivalence classes of the star-center of the bild. We determine the star-center of the bild, and consequently of the numerical range, by showing that the geometrical shape of the upper part of the center is defined by two lines, tangents to the lower bild.Elsevier2021-05-29T00:00:00Z2020-01-01T00:00:00Z20202020-07-22T13:20:44Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10071/20623eng0024-379510.1016/j.laa.2020.05.032Carvalho, L.Diogo, C.Mendes, S.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:RCAAP2023-07-25T17:42:49ZPortal AgregadorONG
dc.title.none.fl_str_mv The star-center of the quaternionic numerical range
title The star-center of the quaternionic numerical range
spellingShingle The star-center of the quaternionic numerical range
Carvalho, L.
Quaternions
Numerical range
Star-shapedness
title_short The star-center of the quaternionic numerical range
title_full The star-center of the quaternionic numerical range
title_fullStr The star-center of the quaternionic numerical range
title_full_unstemmed The star-center of the quaternionic numerical range
title_sort The star-center of the quaternionic numerical range
author Carvalho, L.
author_facet Carvalho, L.
Diogo, C.
Mendes, S.
author_role author
author2 Diogo, C.
Mendes, S.
author2_role author
author
dc.contributor.author.fl_str_mv Carvalho, L.
Diogo, C.
Mendes, S.
dc.subject.por.fl_str_mv Quaternions
Numerical range
Star-shapedness
topic Quaternions
Numerical range
Star-shapedness
description In this paper we prove that the quaternionic numerical range is always star-shaped and its star-center is given by the equivalence classes of the star-center of the bild. We determine the star-center of the bild, and consequently of the numerical range, by showing that the geometrical shape of the upper part of the center is defined by two lines, tangents to the lower bild.
publishDate 2020
dc.date.none.fl_str_mv 2020-01-01T00:00:00Z
2020
2020-07-22T13:20:44Z
2021-05-29T00:00:00Z
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/10071/20623
url http://hdl.handle.net/10071/20623
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0024-3795
10.1016/j.laa.2020.05.032
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
repository.mail.fl_str_mv
_version_ 1777304027016462336

Registros relacionados