赋Orlicz范数Musielak-Orlicz序列空间中的紧局部一致凸点(英文)  

Compactly locally uniformly rotund points of Musielak-Orlicz sequence spaces equipped with the Orlicz norm

作　　者：左明霞[1] 

机构地区：[1]哈尔滨理工大学数学系

出　　处：《黑龙江大学自然科学学报》2010年第4期449-454,共6页Journal of Natural Science of Heilongjiang University

摘　　要：给出了赋Orlicz范数Musielak-Orlicz序列空间中的紧局部一致凸点的判别准则,从而得到了赋Orlicz范数的Musielak-Orlicz序列空间是紧局部一致凸的充分必要条件。A criterion for compactly locally uniformly rotund points in Musielak-Orlicz sequence spaces equipped with the Orlicz norm is given.Thereby,a necessary and sufficient condition under which Musielak-Orlicz sequence spaces equipped with the Orlicz norm are compactly locally uniformly rotund is investigated.

关 键 词：MUSIELAK-ORLICZ序列空间 ORLICZ范数 紧局部一致凸点 

分 类 号：O189.1[理学—数学]