Towards the Carpenter's theorem

Autores
Argerami, Martín; Massey, Pedro Gustavo
Año de publicación
2009
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Let M be a II1 factor with trace τ, A ⊆ Ma masa and EA the unique conditional expectation onto A. Under some technical assumptions on the inclusion A⊆M, which hold true for any semiregular masa of a separable factor, we show that for elements a in certain dense families of the positive part of the unit ball of A, it is possible to find a projection p ∈ M such that EA(p) = a. This shows a new family of instances of a conjecture by Kadison, the so-called "carpenter's theorem".
Facultad de Ciencias Exactas
Materia
Matemática
Conditional expectations
Diagonals of operators
Schur-Horn theorem
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:10915/82702
Acceder
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oai_identifier_str oai:sedici.unlp.edu.ar:10915/82702
network_acronym_str SEDICI
repository_id_str 1329
network_name_str SEDICI (UNLP)
spelling Towards the Carpenter's theoremArgerami, MartínMassey, Pedro GustavoMatemáticaConditional expectationsDiagonals of operatorsSchur-Horn theoremLet M be a II1 factor with trace τ, A ⊆ Ma masa and EA the unique conditional expectation onto A. Under some technical assumptions on the inclusion A⊆M, which hold true for any semiregular masa of a separable factor, we show that for elements a in certain dense families of the positive part of the unit ball of A, it is possible to find a projection p ∈ M such that EA(p) = a. This shows a new family of instances of a conjecture by Kadison, the so-called "carpenter's theorem".Facultad de Ciencias Exactas2009info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf3679-3687http://sedici.unlp.edu.ar/handle/10915/82702enginfo:eu-repo/semantics/altIdentifier/issn/0002-9939info:eu-repo/semantics/altIdentifier/doi/10.1090/S0002-9939-09-09999-7info: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:UNLP2025-09-29T11:15:35Zoai:sedici.unlp.edu.ar:10915/82702Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-29 11:15:36.198SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Towards the Carpenter's theorem
title Towards the Carpenter's theorem
spellingShingle Towards the Carpenter's theorem
Argerami, Martín
Matemática
Conditional expectations
Diagonals of operators
Schur-Horn theorem
title_short Towards the Carpenter's theorem
title_full Towards the Carpenter's theorem
title_fullStr Towards the Carpenter's theorem
title_full_unstemmed Towards the Carpenter's theorem
title_sort Towards the Carpenter's theorem
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
Conditional expectations
Diagonals of operators
Schur-Horn theorem
topic Matemática
Conditional expectations
Diagonals of operators
Schur-Horn theorem
dc.description.none.fl_txt_mv Let M be a II1 factor with trace τ, A ⊆ Ma masa and EA the unique conditional expectation onto A. Under some technical assumptions on the inclusion A⊆M, which hold true for any semiregular masa of a separable factor, we show that for elements a in certain dense families of the positive part of the unit ball of A, it is possible to find a projection p ∈ M such that EA(p) = a. This shows a new family of instances of a conjecture by Kadison, the so-called "carpenter's theorem".
Facultad de Ciencias Exactas
description Let M be a II1 factor with trace τ, A ⊆ Ma masa and EA the unique conditional expectation onto A. Under some technical assumptions on the inclusion A⊆M, which hold true for any semiregular masa of a separable factor, we show that for elements a in certain dense families of the positive part of the unit ball of A, it is possible to find a projection p ∈ M such that EA(p) = a. This shows a new family of instances of a conjecture by Kadison, the so-called "carpenter's theorem".
publishDate 2009
dc.date.none.fl_str_mv 2009
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/10915/82702
url http://sedici.unlp.edu.ar/handle/10915/82702
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/issn/0002-9939
info:eu-repo/semantics/altIdentifier/doi/10.1090/S0002-9939-09-09999-7
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
3679-3687
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 13.070432

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