Schur-Horn theorems in II∞-factors

We describe majorization between selfadjoint operators in a ρ-finite II∞ factor (M, τ) in terms of simple spectral relations. For a diffuse abelian von Neumann subalgebra A ⊂ M that admits a (necessarily unique) tracepreserving conditional expectation, denoted by EA, we characterize the closure in t...

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Autores principales: Argerami, Martín, Massey, Pedro Gustavo
Formato: Articulo
Lenguaje:Inglés
Publicado: 2013
Materias:
Matemática
II∞ factors
Majorization
Schur-Horn theorem
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/85129
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-85129
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Matemática
II∞ factors
Majorization
Schur-Horn theorem
spellingShingle Matemática
II∞ factors
Majorization
Schur-Horn theorem
Argerami, Martín
Massey, Pedro Gustavo
Schur-Horn theorems in II∞-factors
topic_facet Matemática
II∞ factors
Majorization
Schur-Horn theorem
description We describe majorization between selfadjoint operators in a ρ-finite II∞ factor (M, τ) in terms of simple spectral relations. For a diffuse abelian von Neumann subalgebra A ⊂ M that admits a (necessarily unique) tracepreserving conditional expectation, denoted by EA, we characterize the closure in the measure topology of the image through EA of the unitary orbit of a selfadjoint operator in M in terms of majorization (i.e., a Schur-Horn theorem). We also obtain similar results for the contractive orbit of positive operators in M and for the unitary and contractive orbits of τ-integrable operators in M.
format Articulo
Articulo
author Argerami, Martín
Massey, Pedro Gustavo
author_facet Argerami, Martín
Massey, Pedro Gustavo
author_sort Argerami, Martín
title Schur-Horn theorems in II∞-factors
title_short Schur-Horn theorems in II∞-factors
title_full Schur-Horn theorems in II∞-factors
title_fullStr Schur-Horn theorems in II∞-factors
title_full_unstemmed Schur-Horn theorems in II∞-factors
title_sort schur-horn theorems in ii∞-factors
publishDate 2013
url http://sedici.unlp.edu.ar/handle/10915/85129
work_keys_str_mv AT argeramimartin schurhorntheoremsiniifactors
AT masseypedrogustavo schurhorntheoremsiniifactors
bdutipo_str Repositorios
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