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

作　　者：陈博文 巩万中[1] CHEN Bowen;GONG Wanzhong(Department of Mathematics,Anhui Normal University,Wuhu 241000,China)

机构地区：[1]安徽师范大学数学系,安徽芜湖241000

出　　处：《应用数学》2021年第2期436-447,共12页Mathematica Applicata

基　　金：Supported by the National Science Research Project of Anhui Educational Department(KJ2019A0487);the National Natural Science Foundation of China(11771273)。

摘　　要：Orlicz-Lorent空间作为经典Orlicz空间的推广,为调和分析及微分方程提供了合理的空间框架,而一致正规结构和一致非方性在不动点理论领域有着重要的应用.本文给出了赋Orlicz范数下Orlicz-Lorentz序列空间具有一致正规结构和一致非方性的充要条件.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 

分 类 号：O177.2[理学—数学]