| 关于群上的概周期函数的几点注记 |
| |
| 引用本文： | 陈叶君,丁惠生,简伟刚.关于群上的概周期函数的几点注记[J].江西师范大学学报(自然科学版),2020,44(2):202-205. |
| |
| 作者姓名： | 陈叶君 丁惠生 简伟刚 |
| |
| 作者单位： | 1.江西师范大学数学与信息科学学院,江西 南昌 330022; 2.豫章师范学院数学与计算机学院,江西 南昌 330103 |
| |
| 基金项目： | 江西省自然科学基金重点项目;江西省研究生创新项目;国家自然科学基金 |
| |
| 摘 要： | 该文研究了群上的Banach值概周期函数的性质,证明了值域为有限维Banach空间的右概周期函数与左概周期函数是等价的,研究了正规序列的相关条件以及局部紧交换群上的Bohr概周期函数的ε平移集的性质并得到了相关结果.
|
| 关 键 词： | 群 概周期函数 Banach空间 正规序列 |
Some Notes about Almost Periodic Function on Groups |
| |
| CHEN Yejun,DING Huisheng,JIAN Weigang,' target="_blank" rel="external">.Some Notes about Almost Periodic Function on Groups[J].Journal of Jiangxi Normal University (Natural Sciences Edition),2020,44(2):202-205. |
| |
| Authors: | CHEN Yejun DING Huisheng JIAN Weigang " target="_blank">' target="_blank" rel="external"> |
| |
| Institution: | 1.College of Mathematics and Information Science,Jiangxi Normal University,Nanchang Jiangxi 330022,China; 2.School of Mathematics and Computer Science,Yuzhang Normal university,Nanchang Jiangxi 330103,China |
| |
| Abstract: | In this paper,the properties of Banach-valued almost periodic functions on groups are studied and it is proved that the right almost periodic functions and the left almost periodic functions are equivalent in Banach spaces which are finite dimension.In addition,the conditions of normal sequences and the properties of ε translation sets of almost periodic functions on locally compact Abelian groups are studied and some relevant results are obtained. |
| |
| Keywords: | |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
| 点击此处可从《江西师范大学学报(自然科学版)》浏览原始摘要信息 |
| 点击此处可从《江西师范大学学报(自然科学版)》下载免费的PDF全文 |
