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

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 [Formula: see text]. We show that, under certain hypotheses, there is a strong relation between this problem and the same problem for the...

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Detalles Bibliográficos
Autor principal: Rodríguez, J.T.
Formato: JOUR
Materias:
Banach spaces
Norm inequalities
Polynomials
Ultraproducts
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_0022247X_v427_n2_p805_Rodriguez
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_0022247X_v427_n2_p805_Rodriguez
record_format dspace
spelling todo:paper_0022247X_v427_n2_p805_Rodriguez2023-10-03T14:29:21Z On the norm of products of polynomials on ultraproducts of Banach spaces Rodríguez, J.T. Banach spaces Norm inequalities Polynomials Ultraproducts 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 [Formula: see text]. We show that, under certain hypotheses, there is a strong relation between this problem and the same problem for the spaces Xi. © 2015 Elsevier Inc. All rights reserved. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_0022247X_v427_n2_p805_Rodriguez
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Banach spaces
Norm inequalities
Polynomials
Ultraproducts
spellingShingle Banach spaces
Norm inequalities
Polynomials
Ultraproducts
Rodríguez, J.T.
On the norm of products of polynomials on ultraproducts of Banach spaces
topic_facet Banach spaces
Norm inequalities
Polynomials
Ultraproducts
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 [Formula: see text]. We show that, under certain hypotheses, there is a strong relation between this problem and the same problem for the spaces Xi. © 2015 Elsevier Inc. All rights reserved.
format JOUR
author Rodríguez, J.T.
author_facet Rodríguez, J.T.
author_sort Rodríguez, J.T.
title On the norm of products of polynomials on ultraproducts of Banach spaces
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
url http://hdl.handle.net/20.500.12110/paper_0022247X_v427_n2_p805_Rodriguez
work_keys_str_mv AT rodriguezjt onthenormofproductsofpolynomialsonultraproductsofbanachspaces
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