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

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...

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Autor principal: Massey, Pedro Gustavo
Formato: Articulo
Lenguaje:Inglés
Publicado: 2008
Materias:
Matemática
II1 factor
Bounded right spectral resolution
Spectral preorder
Submajorization
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/100384
https://ri.conicet.gov.ar/11336/19466
http://www.theta.ro/jot/archive/2008-059-002/2008-059-002-002.pdf
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-100384
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Matemática
II1 factor
Bounded right spectral resolution
Spectral preorder
Submajorization
spellingShingle Matemática
II1 factor
Bounded right spectral resolution
Spectral preorder
Submajorization
Massey, Pedro Gustavo
Refinements of spectral resolutions and modelling of operators in II<SUB>1</SUB> factors
topic_facet Matemática
II1 factor
Bounded right spectral resolution
Spectral preorder
Submajorization
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.
format Articulo
Articulo
author Massey, Pedro Gustavo
author_facet Massey, Pedro Gustavo
author_sort Massey, Pedro Gustavo
title Refinements of spectral resolutions and modelling of operators in II<SUB>1</SUB> factors
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
publishDate 2008
url http://sedici.unlp.edu.ar/handle/10915/100384
https://ri.conicet.gov.ar/11336/19466
http://www.theta.ro/jot/archive/2008-059-002/2008-059-002-002.pdf
work_keys_str_mv AT masseypedrogustavo refinementsofspectralresolutionsandmodellingofoperatorsiniisub1subfactors
bdutipo_str Repositorios
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