赋p-Amemiya(1≤p≤∞)范数的Orlicz序列空间的端点和严格凸性

Extreme Points and Rotundity in Orlicz Sequence Spaces Equipped with p-Amemiya(1≤p≤∞) Norm

利用Banach空间及经典Orlicz空间几何理论,研究一般Orlicz序列空间的严格凸问题,得到了由一般Orlicz函数生成的赋p-Amemiya范数的Orlicz序列空间中端点的判据,并由该判据获得了由一般Orlicz函数生成的Orlicz序列空间关于p-Amemiya范数严格凸的充要条件.

By means of geometries of Banach spaces and Orlicz spaces method, the characterizations over rotundity of the Orlicz sequence spaces were discussed. For the Orlicz sequence spaces generated by an Orlicz function and equipped with p-Amemiya norm, the criteria of extreme points were presented. Based on the criteria, sufficient and necessary conditions were derived to make them rotund.