赋s范数Orlicz函数空间的光滑点
Smooth Points of Orlicz Function Spaces Equipped with S-norm
徐浩 1王俊明1
作者信息
- 1. 哈尔滨理工大学 理学院,哈尔滨 150080
- 折叠
摘要
光滑点是巴拿赫空间几何理论中的重要概念,在估计理论,概率论等领域有重要应用.本文中,首先用凸模引入赋s-范数Orlicz空间对偶空间范数,然后讨论对偶范数的范数可达性,在此基础上给出赋s-范数Or-licz空间的支撑泛函的显式形式,最后给出赋s-范数Orlicz空间光滑点的判据.
Abstract
Smooth points are important concepts in Banach space geometry theory,which have important applications in estimation theory,probability theory and other fields.In this paper,firstly the dual norm of Orlicz space endowed with s-norm is introduced by convex model and then the norm attainability of dual norm is discussed.On this basis,the explicit form of support functional for Orlicz space endowed with s-norm is given.Finally,a criterion for smooth points in Orlicz space endowed with s-norm is presented.
关键词
Olicz函数空间/s-范数/支撑泛函/光滑点Key words
Orlicz function space/s-norm/support functional/smooth points引用本文复制引用
出版年
2024
NETL
NSTL
万方数据