| 成 妍,海国君.2 × 2 算子矩阵的正性*[J].数学年刊A辑,2023,44(1):29~38 |
| 2 × 2 算子矩阵的正性* |
| Positivity of 2 × 2 Operator Matrices |
| Received:October 13, 2021 Revised:November 27, 2022 |
| DOI：10.16205/j.cnki.cama.2023.0003 |
| 中文关键词: 算子矩阵, 极大Tseng逆, 正性, 平方根算子 |
| 英文关键词:Operator matrix, Maximal Tseng inverse, Positivity, Square root operator |
| 基金项目:国家自然科学基金(No.11761052)和内蒙古自然科学基金(No.2020ZD01) |
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| 中文摘要: |
| 本文主要研究 2 × 2 算子矩阵的正性,并利用极大Tseng逆理论等给出了 2 × 2 算子矩阵为正算子的等价条件.此外, 给出一类正算子矩阵的平方根算子表达式. |
| 英文摘要: |
| In this paper, it mainly studies the positivity of 2 × 2 operator matrix, and gives the equivalent condition that 2 × 2 operator matrix is a positive operator by using the maximal Tseng inverse theory. In addition, the authors give the representation of the square root operator of a class of positive operator matrices. |
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