关于 Banach 空间中的五种极限空间研究

ON FIVE LIMIT SPACES IN Banach SPACE

引入了Ｂａｎａｃｈ空间中的ωＷＭ和ＬωＷＭ性质，ＬωＷＭ是ＷＭ性质的推广。利用ωＷＭ和ＬωＷＭ性质，分别证明了ωＲ、ＬωＲ、ＷＬωＲ，ＣＬωＲ和ＷＣＬωＲ空间的一个特征。证明了ωＲ、ＬωＲ、ＷＬωＲ、ＣＬωＲ和ＷＣＬωＲ空间的若干性质。

In this paper, we introduce the properties ωWM and LωWM in Banach space. The property LωWM is a generalization of the property WM. Using the properties ωWM and LωWM, we prove respectively a characteristie about ωR、LωR、WLωR、CLωR and WCLωR space. We also prove some properties in ωR、LωR、WLωR、CLωR and WCLωR space.