| 孙晨辉,曹小红.算子及其矩阵的(UWE)性质与A-Weyl定理*[J].数学年刊A辑,2023,44(4):399~408 |
| 算子及其矩阵的(UWE)性质与A-Weyl定理* |
| Property (UWE) and A-Weyl’s Theorem for Operator and Operator Matrices |
| Received:April 02, 2022 Revised:June 30, 2023 |
| DOI：10.16205/j.cnki.cama.2023.0028 |
| 中文关键词: (UWE)性质, a-Weyl定理, 谱, 算子矩阵 |
| 英文关键词:Property (UWE), A-Weyl’s theorem, Spectrum, Operator matrices |
| 基金项目:陕西省教育厅2021年度一般专项科研计划项目 (NO. 21JK0637) , 2022年度渭南市科技局科技计划项目 (NO. 2022ZDYFJH-11) 和渭南师范学院2021年人才项目 (NO. 2021RC16) |
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| 中文摘要: |
| 运用新的谱集, 给出了有界线性算子同时满足(UWE)性质与a-Weyl定理的充要条件.之后利用主要结论, 得到了2X2上三角算子矩阵及其函数同时满足(UWE)性质与a-Weyl定理的新的判定方法. |
| 英文摘要: |
| By using the new spectrum, the necessary and sufficient conditions of property (UWE) and a-Weyl’s theorem for bounded linear operators are given. As a consequence of the main result, the new judgements for 2×2 upper triangular operator matrices and operator matrix functions satisfying property (UWE) and a-Weyl’s theorem are discussed. |
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