加权Banach空间中指数函数系完备的稳定性（英文）  

STABILITY OF COMPLETENESS FOR EXPONENTIAL SYSTEMS IN THE WEIGHTED BANACH SPACES

作　　者：杨向东[1] 王越 YANG Xiangdong;WANG Yue(Department of Mathematics, Kunming University of Science and Technology, Kunming 650093, China)

机构地区：[1]昆明理工大学数学系,云南昆明650093

出　　处：《数学杂志》2018年第1期103-112,共10页Journal of Mathematics

基　　金：Supported by National Natural Science Foundation of China(11261024)

摘　　要：本文研究了加权Banach空间中指数函数系完备的稳定性问题.利用解析函数扰动的方法,获得了加权Banach空间中指数函数系完备的稳定性若干结果,推广了现有有限区间Banach空间上的经典结果.In this paper,we study the stability of completeness of exponential systems in weighted Banach spaces.Using the method of perturbation of analytic functions,we obtain several new results on stability.Our results can be regarded as generalization of some existing classical theorems which consider the same problem on Banach spaces overˉnite intervals.

关 键 词：稳定性 指数函数系 完备性 BANACH空间 

分 类 号：O174.5[理学—数学]