The Banach-Saks Property of the Banach Product Spaces

2007/02/19 by Zhenglu Jiang, Jiang, Zhenglu, Xiaoyong Fu +1
Mathematics · #40G05 #40H05 #46B20 #47F05 #Advanced Banach Space Theory #Approximation Theory and Sequence Spaces #FOS: Mathematics #Functional Analysis (math.FA) #Functional Equations Stability Results #math.FA #msc:40G05 #msc:40H05 #msc:46B20 #msc:47F05

paper · pdf · doi:10.48550/arxiv.math/0702538

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arxiv created 2007/02/19 · openalex publication_date 2007/02/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we first take a detail survey of the study of the Banach-Saks property of Banach spaces and then show the Banach-Saks property of the product spaces generated by a finite number of Banach spaces having the Banach-Saks property. A more general inequality for integrals of a class of composite functions is also given by using this property.

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