The case of equality in Young's inequality for the s-numbers in semi-finite von Neumann algebras

Autores
Larotonda, Gabriel Andrés
Año de publicación
2019
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
For a semi-finite von Neumann algebra A, we study the case of equality in Young´s inequality of s-numbers for a pair of τ-measurable operators a,b, and we prove that equality is only possible if |a|^p=|b|^q. We also extend the result to unbounded operators affiliated with A, and relate this problem with other symmetric norm Young inequalities.
Fil: Larotonda, Gabriel Andrés. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; Argentina
Materia
MEASURABLE OPERATOR
TAU-COMPACT OPERATOR
τ-COMPACT OPERATOR
SEMI-FINITE VON NEUMANN ALGEBRA
YOUNG´S INEQUALITY
S-NUMBERS
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:11336/108155
Acceder
id CONICETDig_99ec615110a0426a371d201c213684db
oai_identifier_str oai:ri.conicet.gov.ar:11336/108155
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling The case of equality in Young's inequality for the s-numbers in semi-finite von Neumann algebrasLarotonda, Gabriel AndrésMEASURABLE OPERATORTAU-COMPACT OPERATORτ-COMPACT OPERATORSEMI-FINITE VON NEUMANN ALGEBRAYOUNG´S INEQUALITYS-NUMBERShttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1For a semi-finite von Neumann algebra A, we study the case of equality in Young´s inequality of s-numbers for a pair of τ-measurable operators a,b, and we prove that equality is only possible if |a|^p=|b|^q. We also extend the result to unbounded operators affiliated with A, and relate this problem with other symmetric norm Young inequalities.Fil: Larotonda, Gabriel Andrés. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; ArgentinaTheta Foundation2019-07info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/108155Larotonda, Gabriel Andrés; The case of equality in Young's inequality for the s-numbers in semi-finite von Neumann algebras; Theta Foundation; Journal Of Operator Theory; 81; 1; 7-2019; 157-1730379-4024CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://www.theta.ro/jot/archive/2019-081-001/index_2019-081-001.htmlinfo:eu-repo/semantics/altIdentifier/arxiv/https://arxiv.org/abs/1706.07115info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T11:09:18Zoai:ri.conicet.gov.ar:11336/108155instacron: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:34982025-10-22 11:09:19.227CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv The case of equality in Young's inequality for the s-numbers in semi-finite von Neumann algebras
title The case of equality in Young's inequality for the s-numbers in semi-finite von Neumann algebras
spellingShingle The case of equality in Young's inequality for the s-numbers in semi-finite von Neumann algebras
Larotonda, Gabriel Andrés
MEASURABLE OPERATOR
TAU-COMPACT OPERATOR
τ-COMPACT OPERATOR
SEMI-FINITE VON NEUMANN ALGEBRA
YOUNG´S INEQUALITY
S-NUMBERS
title_short The case of equality in Young's inequality for the s-numbers in semi-finite von Neumann algebras
title_full The case of equality in Young's inequality for the s-numbers in semi-finite von Neumann algebras
title_fullStr The case of equality in Young's inequality for the s-numbers in semi-finite von Neumann algebras
title_full_unstemmed The case of equality in Young's inequality for the s-numbers in semi-finite von Neumann algebras
title_sort The case of equality in Young's inequality for the s-numbers in semi-finite von Neumann algebras
dc.creator.none.fl_str_mv Larotonda, Gabriel Andrés
author Larotonda, Gabriel Andrés
author_facet Larotonda, Gabriel Andrés
author_role author
dc.subject.none.fl_str_mv MEASURABLE OPERATOR
TAU-COMPACT OPERATOR
τ-COMPACT OPERATOR
SEMI-FINITE VON NEUMANN ALGEBRA
YOUNG´S INEQUALITY
S-NUMBERS
topic MEASURABLE OPERATOR
TAU-COMPACT OPERATOR
τ-COMPACT OPERATOR
SEMI-FINITE VON NEUMANN ALGEBRA
YOUNG´S INEQUALITY
S-NUMBERS
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv For a semi-finite von Neumann algebra A, we study the case of equality in Young´s inequality of s-numbers for a pair of τ-measurable operators a,b, and we prove that equality is only possible if |a|^p=|b|^q. We also extend the result to unbounded operators affiliated with A, and relate this problem with other symmetric norm Young inequalities.
Fil: Larotonda, Gabriel Andrés. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; Argentina
description For a semi-finite von Neumann algebra A, we study the case of equality in Young´s inequality of s-numbers for a pair of τ-measurable operators a,b, and we prove that equality is only possible if |a|^p=|b|^q. We also extend the result to unbounded operators affiliated with A, and relate this problem with other symmetric norm Young inequalities.
publishDate 2019
dc.date.none.fl_str_mv 2019-07
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/11336/108155
Larotonda, Gabriel Andrés; The case of equality in Young's inequality for the s-numbers in semi-finite von Neumann algebras; Theta Foundation; Journal Of Operator Theory; 81; 1; 7-2019; 157-173
0379-4024
CONICET Digital
CONICET
url http://hdl.handle.net/11336/108155
identifier_str_mv Larotonda, Gabriel Andrés; The case of equality in Young's inequality for the s-numbers in semi-finite von Neumann algebras; Theta Foundation; Journal Of Operator Theory; 81; 1; 7-2019; 157-173
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/https://www.theta.ro/jot/archive/2019-081-001/index_2019-081-001.html
info:eu-repo/semantics/altIdentifier/arxiv/https://arxiv.org/abs/1706.07115
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
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_ 1846781436235874304
score 12.982451

Publicaciones similares