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

2014/11/21 by Jorge Tomás Rodríguez, Rodríguez, Jorge Tomás
Mathematics · #Advanced Banach Space Theory #Approximation Theory and Sequence Spaces #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #math.FA

paper · pdf · doi:10.48550/arxiv.1411.5894

arxiv created 2014/11/21 · openalex publication_date 2014/11/21 · arxiv updated 2014/11/24 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

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 (X_i)_{\mathfrak U}. We show that, under certain hypotheses, there is a strong relation between this problem and the same problem for the spaces X_i.

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