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The Banach-Saks Property of the Banach Product Spaces

Zhenglu Jiang·Xiaoyong Fu
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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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Zhenglu Jiang, Xiaoyong Fu. 2007-02-19. The Banach-Saks Property of the Banach Product Spaces. https://arxiv.org/abs/math/0702538

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