| 算子方程X^s＋A＊X^-t=I的正算子解 |
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| 引用本文： | 贾艳萍,侯晋川.算子方程X^s＋A＊X^-t=I的正算子解[J].徐州师范大学学报(自然科学版),2012,30(4):24-28. |
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| 作者姓名： | 贾艳萍 侯晋川 |
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| 作者单位： | 1. 山西大同大学数学与计算机科学学院,山西大同,037009
2. 太原理工大学理学院,山西太原,030024 |
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| 摘 要： | 结合算子理论的相关知识，将矩阵方程的某些结果推广到相应的算子方程上．讨论无限维Hilbert空间上算子方程X^s＋A^eX^-tA—I（s〉0，t〉0）的正算子解及其解的范围．
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| 关 键 词： | Hilbert空间 算子方程 正算子解 |
On positive operator solutions of operator equation Xs+A*X-tA=I |
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| Jia Yanping
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Hou Jinchuan.On positive operator solutions of operator equation Xs+A*X-tA=I[J].Journal of Xuzhou Normal University(Natural Science Edition),2012,30(4):24-28. |
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| Authors: | Jia Yanping Hou Jinchuan |
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| Institution: | 1.School of Mathematics & Computer Science,Shanxi Datong University,Datong 037009,Shanxi,China; 2.School of Science,Taiyuan University of Technology,Taiyuan 030024,Shanxi,China) |
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| Abstract: | Combining the operator theory, some results on matrix equation are extended to operator equation. In this paper, the operator equation X^s ＋A^＊ X^-tA = I （s〉0,t〉0） on the infinite dimensional Hilbert space is considered. The positive operator solutions of the equation are mainly discussed, and the location of the solutions is given. |
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| Keywords: | Hi[bert space operator equation positive operator solution |
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