Refinements of spectral resolutions and modelling of operators in II1 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.
Fil: Massey, Pedro Gustavo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderon; Argentina. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matematicas; Argentina
Materia
II_1 factor
bounded right spectral resolution
spectral preorder
submajorization
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/19466
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/19466
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Refinements of spectral resolutions and modelling of operators in II1 factorsMassey, Pedro GustavoII_1 factorbounded right spectral resolutionspectral preordersubmajorizationhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We 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.Fil: Massey, Pedro Gustavo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderon; Argentina. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matematicas; ArgentinaTheta Foundation2008-03info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/19466Massey, Pedro Gustavo; Refinements of spectral resolutions and modelling of operators in II1 factors; Theta Foundation; Journal Of Operator Theory; 59; 2; 3-2008; 247–2620379-4024CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/http://www.theta.ro/jot/archive/2008-059-002/2008-059-002-002.pdfinfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-15T14:40:32Zoai:ri.conicet.gov.ar:11336/19466instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-10-15 14:40:33.233CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Refinements of spectral resolutions and modelling of operators in II1 factors
title Refinements of spectral resolutions and modelling of operators in II1 factors
spellingShingle Refinements of spectral resolutions and modelling of operators in II1 factors
Massey, Pedro Gustavo
II_1 factor
bounded right spectral resolution
spectral preorder
submajorization
title_short Refinements of spectral resolutions and modelling of operators in II1 factors
title_full Refinements of spectral resolutions and modelling of operators in II1 factors
title_fullStr Refinements of spectral resolutions and modelling of operators in II1 factors
title_full_unstemmed Refinements of spectral resolutions and modelling of operators in II1 factors
title_sort Refinements of spectral resolutions and modelling of operators in II1 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 II_1 factor
bounded right spectral resolution
spectral preorder
submajorization
topic II_1 factor
bounded right spectral resolution
spectral preorder
submajorization
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv 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.
Fil: Massey, Pedro Gustavo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderon; Argentina. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matematicas; Argentina
description 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.
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
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://hdl.handle.net/11336/19466
Massey, Pedro Gustavo; Refinements of spectral resolutions and modelling of operators in II1 factors; Theta Foundation; Journal Of Operator Theory; 59; 2; 3-2008; 247–262
0379-4024
CONICET Digital
CONICET
url http://hdl.handle.net/11336/19466
identifier_str_mv Massey, Pedro Gustavo; Refinements of spectral resolutions and modelling of operators in II1 factors; Theta Foundation; Journal Of Operator Theory; 59; 2; 3-2008; 247–262
0379-4024
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://www.theta.ro/jot/archive/2008-059-002/2008-059-002-002.pdf
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Theta Foundation
publisher.none.fl_str_mv Theta Foundation
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
_version_ 1846082897549721600
score 13.22299

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