超幂及其在Banach空间中的应用

Ultrapowers and its application in Banach spaces

利用超幂这一工具讨论了 Ｂａｎａｃｈ 空间上的一些性质与其可分子空间上性质的相互体现，给出了超自反空间的一个等价命题．

Using the ultrapowers as an implement, the mutual reflection of the properties of Banach spaces and its separable subspaces is discussed. A equivalent proposition of super reflexive space is given.