Hyperinvariant subspaces for trace class perturbations of normal operators and decomposability

We prove that a large class of trace-class perturbations of diagonalizable normal operators on a separable, infinite dimensional complex Hilbert space have non-trivial closed hyperinvariant subspaces. Moreover, a large subclass consists of decomposable operators in the sense of Colojoara and Foias.

Detalhes bibliográficos
Autores: Gallardo Gutiérrez, Eva Antonia, González-Doña, F. Javier
Formato: artículo
Fecha de publicación:2025
País:España
Recursos:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/119944
Acesso em linha:https://hdl.handle.net/20.500.14352/119944
Access Level:acceso abierto
Palavra-chave:Compact perturbations of normal operators
Invariant subspaces
Spectral subspaces
Decomposable operators
Análisis matemático
12 Matemáticas
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spelling Hyperinvariant subspaces for trace class perturbations of normal operators and decomposabilityGallardo Gutiérrez, Eva AntoniaGonzález-Doña, F. JavierCompact perturbations of normal operatorsInvariant subspacesSpectral subspacesDecomposable operatorsAnálisis matemático12 MatemáticasWe prove that a large class of trace-class perturbations of diagonalizable normal operators on a separable, infinite dimensional complex Hilbert space have non-trivial closed hyperinvariant subspaces. Moreover, a large subclass consists of decomposable operators in the sense of Colojoara and Foias.ElsevierUniversidad Complutense de Madrid20252025-01-0120252025-01-01journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/119944reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)InglésengAgencia Estatal de Investigación http://dx.doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2021-2023 PID2022-137294NB-I00 METODOS ANALITICOS Y GEOMETRICOS EN TEORIA DE OPERADORESopen accesshttp://purl.org/coar/access_right/c_abf2Attribution-NonCommercial-NoDerivatives 4.0 Internationalhttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/1199442026-06-02T12:44:21Z
dc.title.none.fl_str_mv Hyperinvariant subspaces for trace class perturbations of normal operators and decomposability
title Hyperinvariant subspaces for trace class perturbations of normal operators and decomposability
spellingShingle Hyperinvariant subspaces for trace class perturbations of normal operators and decomposability
Gallardo Gutiérrez, Eva Antonia
Compact perturbations of normal operators
Invariant subspaces
Spectral subspaces
Decomposable operators
Análisis matemático
12 Matemáticas
title_short Hyperinvariant subspaces for trace class perturbations of normal operators and decomposability
title_full Hyperinvariant subspaces for trace class perturbations of normal operators and decomposability
title_fullStr Hyperinvariant subspaces for trace class perturbations of normal operators and decomposability
title_full_unstemmed Hyperinvariant subspaces for trace class perturbations of normal operators and decomposability
title_sort Hyperinvariant subspaces for trace class perturbations of normal operators and decomposability
dc.creator.none.fl_str_mv Gallardo Gutiérrez, Eva Antonia
González-Doña, F. Javier
author Gallardo Gutiérrez, Eva Antonia
author_facet Gallardo Gutiérrez, Eva Antonia
González-Doña, F. Javier
author_role author
author2 González-Doña, F. Javier
author2_role author
dc.contributor.none.fl_str_mv Universidad Complutense de Madrid
dc.subject.none.fl_str_mv Compact perturbations of normal operators
Invariant subspaces
Spectral subspaces
Decomposable operators
Análisis matemático
12 Matemáticas
topic Compact perturbations of normal operators
Invariant subspaces
Spectral subspaces
Decomposable operators
Análisis matemático
12 Matemáticas
description We prove that a large class of trace-class perturbations of diagonalizable normal operators on a separable, infinite dimensional complex Hilbert space have non-trivial closed hyperinvariant subspaces. Moreover, a large subclass consists of decomposable operators in the sense of Colojoara and Foias.
publishDate 2025
dc.date.none.fl_str_mv 2025
2025-01-01
2025
2025-01-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/20.500.14352/119944
url https://hdl.handle.net/20.500.14352/119944
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Agencia Estatal de Investigación http://dx.doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2021-2023 PID2022-137294NB-I00 METODOS ANALITICOS Y GEOMETRICOS EN TEORIA DE OPERADORES
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
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:Docta Complutense
instname:Universidad Complutense de Madrid (UCM)
instname_str Universidad Complutense de Madrid (UCM)
reponame_str Docta Complutense
collection Docta Complutense
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,811543

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