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加权Banach空间中指数函数系完备的稳定性

杨向东 王越

数学杂志2018,Vol.38Issue(1):103-112,10.
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

杨向东 1王越1

作者信息

  • 1. 昆明理工大学数学系,云南昆明 650093
  • 折叠

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)

数学杂志

OACSTPCD

0255-7797

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