On the norm of products of polynomials on ultraproducts of Banach spaces

Autores
Rodríguez, Jorge Tomás
Año de publicación
2015
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
The purpose of this article is to study the problem of finding sharp lower bounds for the norm of the product of polynomials in the ultraproducts of Banach spaces (Xi)U. We show that, under certain hypotheses, there is a strong relation between this problem and the same problem for the spaces Xi.
Fil: Rodríguez, Jorge Tomás. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina
Materia
Polynomials
Banach Spaces
Norm Inequalities
Ultraproducts
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/39695
Acceder
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network_acronym_str CONICETDig
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network_name_str CONICET Digital (CONICET)
spelling On the norm of products of polynomials on ultraproducts of Banach spacesRodríguez, Jorge TomásPolynomialsBanach SpacesNorm InequalitiesUltraproductshttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1The purpose of this article is to study the problem of finding sharp lower bounds for the norm of the product of polynomials in the ultraproducts of Banach spaces (Xi)U. We show that, under certain hypotheses, there is a strong relation between this problem and the same problem for the spaces Xi.Fil: Rodríguez, Jorge Tomás. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; ArgentinaElsevier Inc2015-02info: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/11336/39695Rodríguez, Jorge Tomás; On the norm of products of polynomials on ultraproducts of Banach spaces; Elsevier Inc; Journal of Mathematical Analysis and Applications; 427; 2; 2-2015; 805-8160022-247XCONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1016/j.jmaa.2015.02.054info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0022247X15001754info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1411.5894info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-nd/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:35:54Zoai:ri.conicet.gov.ar:11336/39695instacron: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 10:35:54.496CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv On the norm of products of polynomials on ultraproducts of Banach spaces
title On the norm of products of polynomials on ultraproducts of Banach spaces
spellingShingle On the norm of products of polynomials on ultraproducts of Banach spaces
Rodríguez, Jorge Tomás
Polynomials
Banach Spaces
Norm Inequalities
Ultraproducts
title_short On the norm of products of polynomials on ultraproducts of Banach spaces
title_full On the norm of products of polynomials on ultraproducts of Banach spaces
title_fullStr On the norm of products of polynomials on ultraproducts of Banach spaces
title_full_unstemmed On the norm of products of polynomials on ultraproducts of Banach spaces
title_sort On the norm of products of polynomials on ultraproducts of Banach spaces
dc.creator.none.fl_str_mv Rodríguez, Jorge Tomás
author Rodríguez, Jorge Tomás
author_facet Rodríguez, Jorge Tomás
author_role author
dc.subject.none.fl_str_mv Polynomials
Banach Spaces
Norm Inequalities
Ultraproducts
topic Polynomials
Banach Spaces
Norm Inequalities
Ultraproducts
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv The purpose of this article is to study the problem of finding sharp lower bounds for the norm of the product of polynomials in the ultraproducts of Banach spaces (Xi)U. We show that, under certain hypotheses, there is a strong relation between this problem and the same problem for the spaces Xi.
Fil: Rodríguez, Jorge Tomás. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina
description The purpose of this article is to study the problem of finding sharp lower bounds for the norm of the product of polynomials in the ultraproducts of Banach spaces (Xi)U. We show that, under certain hypotheses, there is a strong relation between this problem and the same problem for the spaces Xi.
publishDate 2015
dc.date.none.fl_str_mv 2015-02
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/11336/39695
Rodríguez, Jorge Tomás; On the norm of products of polynomials on ultraproducts of Banach spaces; Elsevier Inc; Journal of Mathematical Analysis and Applications; 427; 2; 2-2015; 805-816
0022-247X
CONICET Digital
CONICET
url http://hdl.handle.net/11336/39695
identifier_str_mv Rodríguez, Jorge Tomás; On the norm of products of polynomials on ultraproducts of Banach spaces; Elsevier Inc; Journal of Mathematical Analysis and Applications; 427; 2; 2-2015; 805-816
0022-247X
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1016/j.jmaa.2015.02.054
info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0022247X15001754
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1411.5894
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier Inc
publisher.none.fl_str_mv Elsevier Inc
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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score 13.070432

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