Clarkson-McCarthy Interpolated Inequalities in Finsler norms

Autores
Conde, Cristian Marcelo
Año de publicación
2009
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We apply the complex interpolation method to prove that, given two spaces B (n) p0,a;s0 , B(n) p1,b;s1 of n-tuples of operators in the p-Schatten class of a Hilbert space H, endowed with weighted norms associated to positive and invertible operators a and b of B(H) then, the curve of interpolation (B (n) p0,a;s0 , B(n) p1,b;s1 )[t] of the pair is given by the space of n-tuples of operators in the pt-Schatten class of H, with the weighted norm associated to the positive invertible element γa,b(t) = a 1/2 (a −1/2 ba−1/2 ) ta 1/2 .
Fil: Conde, Cristian Marcelo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderon; Argentina. Universidad Nacional de General Sarmiento. Instituto de Ciencias; Argentina
Materia
p-SCHATTEN CLASS
COMPLEX METHOD
CLARKSON-MC CARTHY INEQUALITIES
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:11336/19478
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/19478
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repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Clarkson-McCarthy Interpolated Inequalities in Finsler normsConde, Cristian Marcelop-SCHATTEN CLASSCOMPLEX METHODCLARKSON-MC CARTHY INEQUALITIEShttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We apply the complex interpolation method to prove that, given two spaces B (n) p0,a;s0 , B(n) p1,b;s1 of n-tuples of operators in the p-Schatten class of a Hilbert space H, endowed with weighted norms associated to positive and invertible operators a and b of B(H) then, the curve of interpolation (B (n) p0,a;s0 , B(n) p1,b;s1 )[t] of the pair is given by the space of n-tuples of operators in the pt-Schatten class of H, with the weighted norm associated to the positive invertible element γa,b(t) = a 1/2 (a −1/2 ba−1/2 ) ta 1/2 .Fil: Conde, Cristian Marcelo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderon; Argentina. Universidad Nacional de General Sarmiento. Instituto de Ciencias; ArgentinaVictoria University2009-12info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/19478Conde, Cristian Marcelo; Clarkson-McCarthy Interpolated Inequalities in Finsler norms; Victoria University; Journal of inequalities in pure and applied mathematics; 10; 1; 12-2009; 1-101443-5756CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://www.emis.de/journals/JIPAM/images/243_08_JIPAM/243_08.pdfinfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T12:01:41Zoai:ri.conicet.gov.ar:11336/19478instacron: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 12:01:41.733CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Clarkson-McCarthy Interpolated Inequalities in Finsler norms
title Clarkson-McCarthy Interpolated Inequalities in Finsler norms
spellingShingle Clarkson-McCarthy Interpolated Inequalities in Finsler norms
Conde, Cristian Marcelo
p-SCHATTEN CLASS
COMPLEX METHOD
CLARKSON-MC CARTHY INEQUALITIES
title_short Clarkson-McCarthy Interpolated Inequalities in Finsler norms
title_full Clarkson-McCarthy Interpolated Inequalities in Finsler norms
title_fullStr Clarkson-McCarthy Interpolated Inequalities in Finsler norms
title_full_unstemmed Clarkson-McCarthy Interpolated Inequalities in Finsler norms
title_sort Clarkson-McCarthy Interpolated Inequalities in Finsler norms
dc.creator.none.fl_str_mv Conde, Cristian Marcelo
author Conde, Cristian Marcelo
author_facet Conde, Cristian Marcelo
author_role author
dc.subject.none.fl_str_mv p-SCHATTEN CLASS
COMPLEX METHOD
CLARKSON-MC CARTHY INEQUALITIES
topic p-SCHATTEN CLASS
COMPLEX METHOD
CLARKSON-MC CARTHY INEQUALITIES
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We apply the complex interpolation method to prove that, given two spaces B (n) p0,a;s0 , B(n) p1,b;s1 of n-tuples of operators in the p-Schatten class of a Hilbert space H, endowed with weighted norms associated to positive and invertible operators a and b of B(H) then, the curve of interpolation (B (n) p0,a;s0 , B(n) p1,b;s1 )[t] of the pair is given by the space of n-tuples of operators in the pt-Schatten class of H, with the weighted norm associated to the positive invertible element γa,b(t) = a 1/2 (a −1/2 ba−1/2 ) ta 1/2 .
Fil: Conde, Cristian Marcelo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderon; Argentina. Universidad Nacional de General Sarmiento. Instituto de Ciencias; Argentina
description We apply the complex interpolation method to prove that, given two spaces B (n) p0,a;s0 , B(n) p1,b;s1 of n-tuples of operators in the p-Schatten class of a Hilbert space H, endowed with weighted norms associated to positive and invertible operators a and b of B(H) then, the curve of interpolation (B (n) p0,a;s0 , B(n) p1,b;s1 )[t] of the pair is given by the space of n-tuples of operators in the pt-Schatten class of H, with the weighted norm associated to the positive invertible element γa,b(t) = a 1/2 (a −1/2 ba−1/2 ) ta 1/2 .
publishDate 2009
dc.date.none.fl_str_mv 2009-12
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/11336/19478
Conde, Cristian Marcelo; Clarkson-McCarthy Interpolated Inequalities in Finsler norms; Victoria University; Journal of inequalities in pure and applied mathematics; 10; 1; 12-2009; 1-10
1443-5756
CONICET Digital
CONICET
url http://hdl.handle.net/11336/19478
identifier_str_mv Conde, Cristian Marcelo; Clarkson-McCarthy Interpolated Inequalities in Finsler norms; Victoria University; Journal of inequalities in pure and applied mathematics; 10; 1; 12-2009; 1-10
1443-5756
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.emis.de/journals/JIPAM/images/243_08_JIPAM/243_08.pdf
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
dc.publisher.none.fl_str_mv Victoria University
publisher.none.fl_str_mv Victoria University
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_ 1846782350235533312
score 12.982451

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