摘要
主要研究分块算子矩阵值域的闭性问题．运用扰动理论和HyersUlam稳定性，给出分块算子矩阵值域为闭的充分条件．最后用一些例子说明判别准则的有效性．
In this paper, the closed range of block operator matrices is studied. Using the perturbation theory and Hyers-Ulam stability, the sufficient conditions of the closed range of operator matrix are given. In the end, some examples are given to illustrate the effectiveness of the proposed criterion.
作者
苏日古嘎
吴德玉
阿拉坦仓
Suriguga;De Yu WU;Alatancang(School of Mathematical Sciences, Inner Mongolia University Hohhot 010021, P. R. China;School of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, P. R. China Hohhot Minzu College, Hohhot 010051, P. R. China)
出处
《数学学报（中文版）》
CSCD
北大核心
2018年第3期447-456,共10页
Acta Mathematica Sinica：Chinese Series
基金
国家自然科学基金资助项目(11561048,11371185)
内蒙古自然科学基金资助项目(2015MS0116)
