数学杂志2018,Vol.38Issue(1):103-112,10.
加权Banach空间中指数函数系完备的稳定性
STABILITY OF COMPLETENESS FOR EXPONENTIAL SYSTEMS IN THE WEIGHTED BANACH SPACES
摘要
Abstract
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 over finite intervals.关键词
稳定性/指数函数系/完备性/Banach空间Key words
stability/exponential system/completeness/Banach space分类
数理科学引用本文复制引用
杨向东,王越..加权Banach空间中指数函数系完备的稳定性[J].数学杂志,2018,38(1):103-112,10.基金项目
Supported by National Natural Science Foundation of China (11261024). (11261024)