分块算子矩阵闭值域研究

苏日古嘎, 吴德玉, 阿拉坦仓

数学学报 ›› 2018, Vol. 61 ›› Issue (3) : 447-456.

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数学学报 ›› 2018, Vol. 61 ›› Issue (3) : 447-456. DOI: 10.12386/A2018sxxb0038
论文

分块算子矩阵闭值域研究

    苏日古嘎1, 吴德玉1,2, 阿拉坦仓1,2
作者信息 +

On the Closed Range of Block Operator Matrices

    Suriguga1, De Yu WU1,2, Alatancang1,2
Author information +
文章历史 +

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Hyers—Ulam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.

Abstract

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.

关键词

分块算子矩阵 / 闭值域 / Hyers-Ulam稳定性

Key words

block operator matrices / closed range / Hyers-Ulam stability

引用本文

导出引用
苏日古嘎, 吴德玉, 阿拉坦仓. 分块算子矩阵闭值域研究. 数学学报, 2018, 61(3): 447-456 https://doi.org/10.12386/A2018sxxb0038
Suriguga, De Yu WU, Alatancang. On the Closed Range of Block Operator Matrices. Acta Mathematica Sinica, Chinese Series, 2018, 61(3): 447-456 https://doi.org/10.12386/A2018sxxb0038

参考文献

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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)

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