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
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/19478
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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 Técnicas2025-09-29T10:29:18Zoai: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:34982025-09-29 10:29:19.067CONICET 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 |
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1844614298756710400 |
score |
13.070432 |