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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Publicado: 2014
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Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0022247X_v427_n2_p805_Rodriguez
http://hdl.handle.net/20.500.12110/paper_0022247X_v427_n2_p805_Rodriguez
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Sumario: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.