摘要
Banach空间几何理论是近代泛函分析理论研究的重要方向.作为一类具体的Banach空间,Orlicz空间包含了许多的经典的Banach空间类.为了深入研究Orlicz空间的理论,通过在赋p-Amemiya范数的Orlicz序列空间中对几何常数的研究,得出了在一定的条件下Garcia-Falset系数R(X)的具体值,填补了赋p-Amemiya范数的Orlicz序列空间的几何常数计算方面的空白.丰富了赋p-Amemiya范数的Orlicz空间的几何理论.
Banach space geometry theory is an important direction of modem functional analysis theory. As a specific category of Banach spaces, Orlicz space contains many classic Banaeh spaces. In order to intensive study the Orlicz space theory, through the study of geometric constants in Orlicz sequence spaces with p-Amemiya norm, the concrete value of Garcia-Falset coefficient R（X） is obtained with conditions. The geometric constants of the Or- licz sequence space with the p-Amemiya norm are filled in the blank in computing. The geometric theory of Orlicz spaces with the p-Amemiya norm is enriched.
出处
《哈尔滨理工大学学报》
CAS
北大核心
2015年第3期114-116,共3页
Journal of Harbin University of Science and Technology
