| 赋Orlicz范数下Orlicz-Lorentz序列空间的一致正规结构和一致非方性 |
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| 引用本文： | 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. |
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| 作者姓名： | 陈博文 巩万中 |
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| 作者单位： | 安徽师范大学数学系, 安徽 芜湖 241000 |
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| 基金项目： | Supported by the National Science Research Project of Anhui Educational Department(KJ2019A0487);the National Natural Science Foundation of China(11771273)。 |
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| 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.
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| 关 键 词： | 一致正规结构 一致非方性 Orlicz-Lorentz序列空间 ORLICZ范数 |
| 收稿时间： | 2020/5/18 0:00:00 |
Uniformly Normal Structure and Uniform Non-Squareness of Orlicz-Lorentz Sequence Spaces Endowed with the Orlicz Norm |
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| CHEN Bowen,GONG Wanzhong.Uniformly Normal Structure and Uniform Non-Squareness of Orlicz-Lorentz Sequence Spaces Endowed with the Orlicz Norm[J].Mathematica Applicata,2021,34(2):436-447. |
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| Authors: | CHEN Bowen GONG Wanzhong |
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| Institution: | (Department of Mathematics,Anhui Normal University,Wuhu 241000,China) |
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| 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. |
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| Keywords: | Uniformly normal structure Uniform non-squareness Orlicz-Lorentz sequence spaces Orlicz norm |
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