The Banach-Saks Property of the Banach Product Spaces

Details The Banach-Saks Property of the Banach Product Spaces The Banach-Saks Property of the Banach Product Spaces

2007-02-19

arxiv.org/abs/math/0702538v1

Mathematics

Functional Analysis

6

Scientific paper

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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