| 一类算子方程的正算子解的刻画 |
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| 引用本文： | 杨凯凡.一类算子方程的正算子解的刻画[J].内江师范学院学报,2008,23(8):22-24. |
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| 作者姓名： | 杨凯凡 |
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| 作者单位： | 陕西理工学院数学系,陕西,汉中,723001 |
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| 基金项目： | 陕西理工学院校科研和教改项目 |
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| 摘 要： | 在无限维Hilbert空间上研究了一类算子方程的正算子解存在的充分条件和必要条件以及正算子解的范围，并且用迭代的方法得到了方程的正算子解.
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| 关 键 词： | 算子方程 正算子 可逆算子 谱 谱半径 |
Characterization of the Positive Operator Solutions to a Class of Operator Equation |
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| YANG Kai-fan.Characterization of the Positive Operator Solutions to a Class of Operator Equation[J].Journal of Neijiang Teachers College,2008,23(8):22-24. |
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| Authors: | YANG Kai-fan |
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| Institution: | YANG Kai-fan (Department of Mathematics, Shanxi University of Technology, Hanzhong, Shanxi 72300, China) |
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| Abstract: | some necessary conditions and sufficient conditions for the existence of positive operator solutions to the equation are studied in infinite dimensional Hilbert space and the rang of the positive operator solutions is given.Moreover,the positive solution of this class of equation is obtained by using effective iterative method. |
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| Keywords: | operator equation positive operator invertible operator spectrum spectral radius |
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