赋范空间下的n-自反算子空间

n- Reflexivity Operator Space in Normed Space

本文讨论了赋范空间下的n-自反问题,首先得到了一个n-自反的充要条件,然后给出了性质 P_n、Q_n、Q_n~,并证明了具有这三种性质的弱闭算子子空间分别是2n+1,2n,n自反的。

This paper treats of the n-refiexivity operator space in normed space, obtaines a necessary and sufficient condition for n-refiexivity at the beginning, and then presents properties Pn,Qn and Qn- , with the 2n+l-reflexivity of these properties in weakly closed subspace proved.