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

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:427

Article

Tomas Rodriguez, Jorge^1,2 

[1] Univ Buenos Aires, Fac Cs Exactas & Nat, Dept Matemat Pab 1, RA-1428 Buenos Aires, DF, Argentina

[2] IMAS CONICET, Buenos Aires, DF, Argentina

关键词: Polynomials;    Banach spaces;    Norm inequalities;    Ultraproducts;   

DOI  :  10.1016/j.jmaa.2015.02.054

来源: Elsevier

【 摘 要 】

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)(u). We show that, under certain hypotheses, there is a strong relation between this problem and the same problem for the spaces X-i. (C) 2015 Elsevier Inc. All rights reserved.

【 授权许可】

Free