论文标题
订单类型的Banach-Saks属性
The order-type Banach-Saks properties
论文作者
论文摘要
Banach空间中Banach-Saks物业的研究具有悠久而杰出的历史。最近，是由于金融数学应用的促进，在Banach-Saks类型的属性中引起了利益，就订单收敛而产生了兴趣。本文介绍了Banach功能空间中的Banach-saks特性的研究，尤其是在重排空间中。在获得的结果中，我们为（弱）Banach-Saks财产提供了一些足够的条件。我们还表征了Orlicz空间中的（弱）订单Banach-Saks属性。还表明（弱）Banach-Saks财产等同于其世袭版本。
The study of the Banach-Saks property in Banach spaces has a long and illustrious history. Of late, motivated by applications in financial mathematics, interest has arisen in the Banach-Saks type properties with respect to order convergence. This paper presents a study of order Banach-Saks properties in Banach function spaces, and in particular in rearrangement invariant spaces. Among the results obtained, we provide some sufficient conditions for the (weak) order Banach-Saks property. We also characterize the (weak) order Banach-Saks property in Orlicz spaces. It is also shown that the (weak) order Banach-Saks property is equivalent to its hereditary version.
