Refinements of spectral resolutions and modelling of operators in II<SUB>1</SUB> factors

Autores
Massey, Pedro Gustavo
Año de publicación
2008
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We study refinements between spectral resolutions in an arbitrary II1 factor M and obtain diffuse (maximal) refinements of spectral resolutions. We construct models of operators with respect to diffuse spectral resolutions. As an application we obtain new characterizations of sub-majorization and spectral preorder between positive operators in M and new versions of some known inequalities involving these preorders.
Facultad de Ciencias Exactas
Materia
Matemática
II1 factor
Bounded right spectral resolution
Spectral preorder
Submajorization
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by-nc-sa/4.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/100384
Acceder
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oai_identifier_str oai:sedici.unlp.edu.ar:10915/100384
network_acronym_str SEDICI
repository_id_str 1329
network_name_str SEDICI (UNLP)
spelling Refinements of spectral resolutions and modelling of operators in II<SUB>1</SUB> factorsMassey, Pedro GustavoMatemáticaII1 factorBounded right spectral resolutionSpectral preorderSubmajorizationWe study refinements between spectral resolutions in an arbitrary II<SUB>1</SUB> factor M and obtain diffuse (maximal) refinements of spectral resolutions. We construct models of operators with respect to diffuse spectral resolutions. As an application we obtain new characterizations of sub-majorization and spectral preorder between positive operators in M and new versions of some known inequalities involving these preorders.Facultad de Ciencias Exactas2008-03info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf247-262http://sedici.unlp.edu.ar/handle/10915/100384enginfo:eu-repo/semantics/altIdentifier/url/https://ri.conicet.gov.ar/11336/19466info:eu-repo/semantics/altIdentifier/url/http://www.theta.ro/jot/archive/2008-059-002/2008-059-002-002.pdfinfo:eu-repo/semantics/altIdentifier/issn/0379-4024info:eu-repo/semantics/altIdentifier/hdl/11336/19466info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-sa/4.0/Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-10-15T11:12:55Zoai:sedici.unlp.edu.ar:10915/100384Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-10-15 11:12:55.792SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Refinements of spectral resolutions and modelling of operators in II<SUB>1</SUB> factors
title Refinements of spectral resolutions and modelling of operators in II<SUB>1</SUB> factors
spellingShingle Refinements of spectral resolutions and modelling of operators in II<SUB>1</SUB> factors
Massey, Pedro Gustavo
Matemática
II1 factor
Bounded right spectral resolution
Spectral preorder
Submajorization
title_short Refinements of spectral resolutions and modelling of operators in II<SUB>1</SUB> factors
title_full Refinements of spectral resolutions and modelling of operators in II<SUB>1</SUB> factors
title_fullStr Refinements of spectral resolutions and modelling of operators in II<SUB>1</SUB> factors
title_full_unstemmed Refinements of spectral resolutions and modelling of operators in II<SUB>1</SUB> factors
title_sort Refinements of spectral resolutions and modelling of operators in II<SUB>1</SUB> factors
dc.creator.none.fl_str_mv Massey, Pedro Gustavo
author Massey, Pedro Gustavo
author_facet Massey, Pedro Gustavo
author_role author
dc.subject.none.fl_str_mv Matemática
II1 factor
Bounded right spectral resolution
Spectral preorder
Submajorization
topic Matemática
II1 factor
Bounded right spectral resolution
Spectral preorder
Submajorization
dc.description.none.fl_txt_mv We study refinements between spectral resolutions in an arbitrary II<SUB>1</SUB> factor M and obtain diffuse (maximal) refinements of spectral resolutions. We construct models of operators with respect to diffuse spectral resolutions. As an application we obtain new characterizations of sub-majorization and spectral preorder between positive operators in M and new versions of some known inequalities involving these preorders.
Facultad de Ciencias Exactas
description We study refinements between spectral resolutions in an arbitrary II<SUB>1</SUB> factor M and obtain diffuse (maximal) refinements of spectral resolutions. We construct models of operators with respect to diffuse spectral resolutions. As an application we obtain new characterizations of sub-majorization and spectral preorder between positive operators in M and new versions of some known inequalities involving these preorders.
publishDate 2008
dc.date.none.fl_str_mv 2008-03
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Articulo
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://sedici.unlp.edu.ar/handle/10915/100384
url http://sedici.unlp.edu.ar/handle/10915/100384
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://ri.conicet.gov.ar/11336/19466
info:eu-repo/semantics/altIdentifier/url/http://www.theta.ro/jot/archive/2008-059-002/2008-059-002-002.pdf
info:eu-repo/semantics/altIdentifier/issn/0379-4024
info:eu-repo/semantics/altIdentifier/hdl/11336/19466
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
dc.format.none.fl_str_mv application/pdf
247-262
dc.source.none.fl_str_mv reponame:SEDICI (UNLP)
instname:Universidad Nacional de La Plata
instacron:UNLP
reponame_str SEDICI (UNLP)
collection SEDICI (UNLP)
instname_str Universidad Nacional de La Plata
instacron_str UNLP
institution UNLP
repository.name.fl_str_mv SEDICI (UNLP) - Universidad Nacional de La Plata
repository.mail.fl_str_mv alira@sedici.unlp.edu.ar
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score 13.22299

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