关于群上的概周期函数的几点注记  

Some Notes about Almost Periodic Function on Groups

作　　者：陈叶君 丁惠生[1] 简伟刚 CHEN Yejun;DING Huisheng;JIAN Weigang(College of Mathematics and Information Science,Jiangxi Normal University,Nanchang Jiangxi 330022,China;School of Mathematics and Computer Science,Yuzhang Normal university,Nanchang Jiangxi 330103,China)

机构地区：[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

出　　处：《江西师范大学学报（自然科学版）》2020年第2期202-205,共4页Journal of Jiangxi Normal University(Natural Science Edition)

基　　金：国家自然科学基金(11861037);江西省自然科学基金重点课题(20192ACB20012);江西省研究生创新基金(YC2018-S152)资助项目。

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.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 ofεtranslation sets of almost periodic functions on locally compact Abelian groups are studied and some relevant results are obtained.

关 键 词：群 概周期函数 BANACH空间 正规序列 

分 类 号：O174.2[理学—数学] O177.91[理学—基础数学]