广义Orlicz空间的端点

Extreme Points of Generalized Orlicz Spaces

在广义Orlicz空间中,引进了一个与Orlicz范数和Luxemburg范数等价的新范数——A-范数.给出了端点的判别准则,据此得到了广义Orlicz空间关于A-范数严格凸的条件,还给出了关于Luxemburg范数的广义Orlicz空间端点的判别条件.

A new norm which is equivalent to the Orlicz norm and the Luxemburg norm is introduced in gener- alized Orlicz space. It is called A-norm. The criterion for the extreme points in this space is given, and the condi- tions for the generalized Orliez space equipped with the A-norm to be rotund are obtained . In this paper, the crite- ria for extreme points of generalized Orlicz space with the Luxemburg norm are given.