| 算子方程Xs-A*X-tA=I正算子解的范围 |
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| 引用本文： | 贾艳萍,侯晋川. 算子方程Xs-A*X-tA=I正算子解的范围[J]. 徐州师范大学学报(自然科学版), 2011, 29(1) |
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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： | 利用算子理论的相关知识,在无限维的Hilbert空间上研究算子方程Xs-A*X-tA=I(s>0,t>0),得到其正算子解的范围.
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| 关 键 词： | Hilbert空间 有界线性算子 正算子解 算子方程 |
The range of positive operator solutions of operator equation Xs -A*X-tA=I |
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| Jia Yanping,Hou Jinchuan. The range of positive operator solutions of operator equation Xs -A*X-tA=I[J]. Journal of Xuzhou Normal University(Natural Science Edition), 2011, 29(1) |
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| Authors: | Jia Yanping Hou Jinchuan |
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| Affiliation: | Jia Yanping1,Hou Jinchuan2(1.School of Mathematics & Computer Science,Shanxi Datong University,Datong 037009,Shanxi,China,2.School of Science,Taiyuan University of Technology,Taiyuan 030024,China) |
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| Abstract: | In this paper,the operator theory is used in the study of the operator equation Xs-A*X-tA=I(s>0,t>0) in infinite dimensional Hilbert space to obtain the range of its positive operator solutions. |
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| Keywords: | Hilbert space bounded linear operator positive operator solution operator equation |
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