P_xX_n的ω—凸性

On the ω-Rotundity in P_xX_n

在文献[1]、[2]中已经解决了Banach-Saks性质及紧性等多种性质在P_xX_n中的提升问题本文主要讨论局部ω-凸(LWR)弱局部ω-凸(WLωR)和弱局部ω-凸(W~*LωR)在P_xX_n中的提升问题。

In this paper, we will give the lifting results of locally ω-rotund, weakly locally ω- rotund and weakly'locally ω-rotund from a sequence of Banach space {X_n} to substitution spaces P_x_n.