Extreme points and strongly extreme points in Orlicz sequence spaces equipped with the generalized Orlicz norm(Chinese)
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摘要: 给出了由~$N$-函数生成的赋广义~Orlicz~范数的~Orlicz~序列空间中端点和强端点的判据, ~%并据此方便地得到了由~$N$-函数生成的~Orlicz~序列空间关于广义~Orlicz~范数严格凸和中点局部一致凸的条件.
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关键词:
- 广义Orlicz范数 /
- 端点 /
- 强端点 /
- Orlicz序列空间
Abstract: For the Orlicz sequence spaces generated by a $N$-functionand equipped with the generalized Orlicz norm, criteria of extremepoints and strongly extreme points were presented. Based on thecriterias, both sufficient and necessary conditions were derived tomake these spaces be convex and mid-point locally uniform convex. -
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