On Bounded Finite Potent Operators on Arbitrary Hilbert Spaces

[EN] The aim of this work is to study the structure of bounded finite potent endomorphisms on Hilbert spaces. In particular, for these operators, an answer to the Invariant Subspace Problem is given and the main properties of its adjoint operator are offered. Moreover, for every bounded finite poten...

Descripción completa

Detalles Bibliográficos
Autor: Pablos Romo, Fernando
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2021
País:España
Institución:Universidad de Salamanca (USAL)
Repositorio:GREDOS. Repositorio Institucional de la Universidad de Salamanca
OAI Identifier:oai:gredos.usal.es:10366/149784
Acceso en línea:http://hdl.handle.net/10366/149784
Access Level:acceso abierto
Palabra clave:Adjoint operator
Bounded operator
Hilbert space
Finite potent endomorphism
Leray trace
Riesz operator
12 Matemáticas
1204 Geometría
1210 Topología
1201.01 Geometría Algebraica
id ES_70ec6410f4686a0495cfff9daefdaf60
oai_identifier_str oai:gredos.usal.es:10366/149784
network_acronym_str ES
network_name_str España
repository_id_str
spelling On Bounded Finite Potent Operators on Arbitrary Hilbert SpacesPablos Romo, FernandoAdjoint operatorBounded operatorHilbert spaceFinite potent endomorphismLeray traceRiesz operator12 Matemáticas1204 Geometría1210 Topología1201.01 Geometría Algebraica[EN] The aim of this work is to study the structure of bounded finite potent endomorphisms on Hilbert spaces. In particular, for these operators, an answer to the Invariant Subspace Problem is given and the main properties of its adjoint operator are offered. Moreover, for every bounded finite potent endomorphism we show that Tate’s trace coincides with the Leray trace and with the trace defined by R. Elliott for Riesz Trace Class operatorsOpen Access funding provided thanks to the CRUE-CSIC agreement with Springer Nature.Publicación en abierto financiada por el Consorcio de Bibliotecas Universitarias de Castilla y León (BUCLE), con cargo al Programa Operativo 2014ES16RFOP009 FEDER 2014-2020 DE CASTILLA Y LEÓN, Actuación:20007-CL - Apoyo Consorcio BUCLESpringerlink202220222021info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttp://hdl.handle.net/10366/149784reponame:GREDOS. Repositorio Institucional de la Universidad de Salamancainstname:Universidad de Salamanca (USAL)InglésAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessoai:gredos.usal.es:10366/1497842026-06-07T06:28:51Z
dc.title.none.fl_str_mv On Bounded Finite Potent Operators on Arbitrary Hilbert Spaces
title On Bounded Finite Potent Operators on Arbitrary Hilbert Spaces
spellingShingle On Bounded Finite Potent Operators on Arbitrary Hilbert Spaces
Pablos Romo, Fernando
Adjoint operator
Bounded operator
Hilbert space
Finite potent endomorphism
Leray trace
Riesz operator
12 Matemáticas
1204 Geometría
1210 Topología
1201.01 Geometría Algebraica
title_short On Bounded Finite Potent Operators on Arbitrary Hilbert Spaces
title_full On Bounded Finite Potent Operators on Arbitrary Hilbert Spaces
title_fullStr On Bounded Finite Potent Operators on Arbitrary Hilbert Spaces
title_full_unstemmed On Bounded Finite Potent Operators on Arbitrary Hilbert Spaces
title_sort On Bounded Finite Potent Operators on Arbitrary Hilbert Spaces
dc.creator.none.fl_str_mv Pablos Romo, Fernando
author Pablos Romo, Fernando
author_facet Pablos Romo, Fernando
author_role author
dc.subject.none.fl_str_mv Adjoint operator
Bounded operator
Hilbert space
Finite potent endomorphism
Leray trace
Riesz operator
12 Matemáticas
1204 Geometría
1210 Topología
1201.01 Geometría Algebraica
topic Adjoint operator
Bounded operator
Hilbert space
Finite potent endomorphism
Leray trace
Riesz operator
12 Matemáticas
1204 Geometría
1210 Topología
1201.01 Geometría Algebraica
description [EN] The aim of this work is to study the structure of bounded finite potent endomorphisms on Hilbert spaces. In particular, for these operators, an answer to the Invariant Subspace Problem is given and the main properties of its adjoint operator are offered. Moreover, for every bounded finite potent endomorphism we show that Tate’s trace coincides with the Leray trace and with the trace defined by R. Elliott for Riesz Trace Class operators
publishDate 2021
dc.date.none.fl_str_mv 2021
2022
2022
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/10366/149784
url http://hdl.handle.net/10366/149784
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.rights.none.fl_str_mv Attribution-NonCommercial-NoDerivatives 4.0 Internacional
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Attribution-NonCommercial-NoDerivatives 4.0 Internacional
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 Springerlink
publisher.none.fl_str_mv Springerlink
dc.source.none.fl_str_mv reponame:GREDOS. Repositorio Institucional de la Universidad de Salamanca
instname:Universidad de Salamanca (USAL)
instname_str Universidad de Salamanca (USAL)
reponame_str GREDOS. Repositorio Institucional de la Universidad de Salamanca
collection GREDOS. Repositorio Institucional de la Universidad de Salamanca
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869410615808753664
score 15.300719

Similares en LA Referencia