A note on the essential numerical range of block diagonal operators
Autor(a) principal: | |
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Data de Publicação: | 2023 |
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/10071/30724 |
Resumo: | In this note we characterize the essential numerical range of a block diagonal operator T = ⊕i T_i in terms of the numerical ranges {W (T_i )}i of its components. Specifically, the essential numerical range of T is the convex hull of the limit superior of {W (Ti )}i . This characterization can be simplified further. In fact, we prove the existence of a decomposition of T for which the convex hull is not required. |
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spelling |
A note on the essential numerical range of block diagonal operatorsBlock diagonal operatorEssential numerical rangeIn this note we characterize the essential numerical range of a block diagonal operator T = ⊕i T_i in terms of the numerical ranges {W (T_i )}i of its components. Specifically, the essential numerical range of T is the convex hull of the limit superior of {W (Ti )}i . This characterization can be simplified further. In fact, we prove the existence of a decomposition of T for which the convex hull is not required.Walter de Gruyter GmbH2024-11-29T00:00:00Z2023-01-01T00:00:00Z20232024-01-31T11:21:18Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10071/30724eng0933-774110.1515/forum-2023-0166Carvalho, L.Diogo, C.Mendes, S.Soares, H.info:eu-repo/semantics/embargoedAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2024-02-04T01:19:51Zoai:repositorio.iscte-iul.pt:10071/30724Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T02:08:02.485495Repositório 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 |
A note on the essential numerical range of block diagonal operators |
title |
A note on the essential numerical range of block diagonal operators |
spellingShingle |
A note on the essential numerical range of block diagonal operators Carvalho, L. Block diagonal operator Essential numerical range |
title_short |
A note on the essential numerical range of block diagonal operators |
title_full |
A note on the essential numerical range of block diagonal operators |
title_fullStr |
A note on the essential numerical range of block diagonal operators |
title_full_unstemmed |
A note on the essential numerical range of block diagonal operators |
title_sort |
A note on the essential numerical range of block diagonal operators |
author |
Carvalho, L. |
author_facet |
Carvalho, L. Diogo, C. Mendes, S. Soares, H. |
author_role |
author |
author2 |
Diogo, C. Mendes, S. Soares, H. |
author2_role |
author author author |
dc.contributor.author.fl_str_mv |
Carvalho, L. Diogo, C. Mendes, S. Soares, H. |
dc.subject.por.fl_str_mv |
Block diagonal operator Essential numerical range |
topic |
Block diagonal operator Essential numerical range |
description |
In this note we characterize the essential numerical range of a block diagonal operator T = ⊕i T_i in terms of the numerical ranges {W (T_i )}i of its components. Specifically, the essential numerical range of T is the convex hull of the limit superior of {W (Ti )}i . This characterization can be simplified further. In fact, we prove the existence of a decomposition of T for which the convex hull is not required. |
publishDate |
2023 |
dc.date.none.fl_str_mv |
2023-01-01T00:00:00Z 2023 2024-11-29T00:00:00Z 2024-01-31T11:21:18Z |
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/10071/30724 |
url |
http://hdl.handle.net/10071/30724 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
0933-7741 10.1515/forum-2023-0166 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/embargoedAccess |
eu_rights_str_mv |
embargoedAccess |
dc.format.none.fl_str_mv |
application/pdf |
dc.publisher.none.fl_str_mv |
Walter de Gruyter GmbH |
publisher.none.fl_str_mv |
Walter de Gruyter GmbH |
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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1799137169459118080 |