平均弱局部一致凸及强端点在置换空间的提升

AVERAGE WEAK LOCAL UNIFORM CONVEXITY AND STRONGLY EXTREME POINTS IN SUBSTITUTION SPACE P_xX_n

主要研究平均弱局部一致凸性及强端点从Banach空间Xn到置换空间PxXn上的提升问题,证明了这两种性质都可以在置换空间PxXn上得到提升。

We mainly research the lifting results of average weak local uniform convexity and strongly extreme points from Banach space Xn to substitution space PxXn. We also prove that these two convexities can be improved in substitution space PxXn.