| 2×2算子矩阵的逆 |
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| 引用本文： | 姚喜妍.2×2算子矩阵的逆[J].数学学报,2006,49(4):949-954. |
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| 作者姓名： | 姚喜妍 |
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| 作者单位： | 山西运城学院应用数学系 运城 |
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| 基金项目： | 国家自然科学基金资助项目(19771056)
山西省重点扶持学科基金项目(20055026) |
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| 摘 要： | 设H和K为复的无限维可分Hilbert空间．本文利用算子的几何结构着重研究了Hilbert空间H(?)K上的2×2算子矩阵的逆,给出了一些有意义的结果．
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| 关 键 词： | 2×2算子矩阵 逆 正算子 |
| 收稿时间： | 2005-9-1 |
Inverses of 2×2 Operator Matrices |
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| Xi Yan YAO.Inverses of 2×2 Operator Matrices[J].Acta Mathematica Sinica,2006,49(4):949-954. |
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| Authors: | Xi Yan YAO |
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| Institution: | Xi Yan YAO Department of Mathematics, Shanxi Yuncheng University, Yuncheng 044000, P. R. China College of Mathematics and Information Science, Shaanxi Normal University, Xi'an 710062, P. R. China |
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| Abstract: | Let H and K be separable complex infinite-dimensional Hilbert spaces. In this note, we primarily study inverses of 2×2 operator matrices on H(?)K by utilizing the method of geometrical structure of operators, and obtain some meaningful results. |
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| Keywords: | 2×2 operator matrix inverse positive operator |
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