Schur-Horn theorems in II∞-factors
- Autores
- Argerami, Martín; Massey, Pedro Gustavo
- Año de publicación
- 2013
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- 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.
Facultad de Ciencias Exactas - Materia
-
Matemática
II∞ factors
Majorization
Schur-Horn theorem - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- http://creativecommons.org/licenses/by-nc-sa/4.0/
- Repositorio
.jpg)
- Institución
- Universidad Nacional de La Plata
- OAI Identificador
- oai:sedici.unlp.edu.ar:10915/85129
Ver los metadatos del registro completo
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Schur-Horn theorems in II∞-factorsArgerami, MartínMassey, Pedro GustavoMatemáticaII∞ factorsMajorizationSchur-Horn theoremWe 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.Facultad de Ciencias Exactas2013info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf283-310http://sedici.unlp.edu.ar/handle/10915/85129enginfo:eu-repo/semantics/altIdentifier/issn/0030-8730info:eu-repo/semantics/altIdentifier/doi/10.2140/pjm.2013.261.283info: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:UNLP2025-10-29T15:21:34Zoai:sedici.unlp.edu.ar:10915/85129Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-10-29 15:21:34.766SEDICI (UNLP) - Universidad Nacional de La Platafalse |
| dc.title.none.fl_str_mv |
Schur-Horn theorems in II∞-factors |
| title |
Schur-Horn theorems in II∞-factors |
| spellingShingle |
Schur-Horn theorems in II∞-factors Argerami, Martín Matemática II∞ factors Majorization Schur-Horn theorem |
| 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 |
| dc.creator.none.fl_str_mv |
Argerami, Martín Massey, Pedro Gustavo |
| author |
Argerami, Martín |
| author_facet |
Argerami, Martín Massey, Pedro Gustavo |
| author_role |
author |
| author2 |
Massey, Pedro Gustavo |
| author2_role |
author |
| dc.subject.none.fl_str_mv |
Matemática II∞ factors Majorization Schur-Horn theorem |
| topic |
Matemática II∞ factors Majorization Schur-Horn theorem |
| dc.description.none.fl_txt_mv |
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. Facultad de Ciencias Exactas |
| 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. |
| publishDate |
2013 |
| dc.date.none.fl_str_mv |
2013 |
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info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Articulo http://purl.org/coar/resource_type/c_6501 info:ar-repo/semantics/articulo |
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article |
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publishedVersion |
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http://sedici.unlp.edu.ar/handle/10915/85129 |
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http://sedici.unlp.edu.ar/handle/10915/85129 |
| dc.language.none.fl_str_mv |
eng |
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eng |
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info:eu-repo/semantics/altIdentifier/issn/0030-8730 info:eu-repo/semantics/altIdentifier/doi/10.2140/pjm.2013.261.283 |
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