赋广义Orlicz范数Orlicz序列空间的k-端点和k-强端点

k-extreme points and k-strongly extreme points in Orlicz sequence spaces endowed with the generalized Orlicz norm

给出了由N-函数生成赋广义Orlicz范数的Orlicz序列空间中k-端点和k-强端点的判据,得到了该空间关于广义Orlicz范数k严格凸和中点局部k一致凸的条件.

For the Orlicz sequence spaces generated by a N-function endowed with the generalized Orlicz Norm,criteria of k-extreme points and k-strongly extreme points are given.And by it both sufficient and necessary conditions are presented to make them be k-rotund and mid-point locally k-uniformly rotund.