应用数学2021,Vol.34Issue(2):436-447,12.
赋Orlicz范数下Orlicz-Lorentz序列空间的一致正规结构和一致非方性
Uniformly Normal Structure and Uniform Non-Squareness of Orlicz-Lorentz Sequence Spaces Endowed with the Orlicz Norm
摘要
Abstract
As a generalization of classical Orlicz space,Orlicz-Lorentz space provides a reasonable space framework for harmonic analysis and differential equations.While uniformly normal structure and uniform non-squareness play important roles in fixed point theory.In this paper the necessary and sufficient conditions were given for Orlicz-Lorentz sequence space endowed with the Orlicz norm having uniformly normal structure and uniform non-squareness.关键词
一致正规结构/一致非方性/Orlicz-Lorentz序列空间/Orlicz范数Key words
Uniformly normal structure/Uniform non-squareness/Orlicz-Lorentz sequence spaces/Orlicz norm分类
数理科学引用本文复制引用
陈博文,巩万中..赋Orlicz范数下Orlicz-Lorentz序列空间的一致正规结构和一致非方性[J].应用数学,2021,34(2):436-447,12.基金项目
Supported by the National Science Research Project of Anhui Educational Department(KJ2019A0487),the National Natural Science Foundation of China(11771273) (KJ2019A0487)