| 线性算子的广义谱 |
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| 引用本文： | 袁国常.线性算子的广义谱[J].三峡大学学报(自然科学版),2009,31(6):97-99. |
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| 作者姓名： | 袁国常 |
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| 作者单位： | 三峡旅游职业技术学院,基础部,湖北,宜昌,443100 |
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| 摘 要： | 在复赋范线性空间上线性算子广义逆概念的基础上引入线性算子广义谱概念,讨论了复数λ为有界线性算子T的广义谱的充要条件,得出了关于线性算子广义谱的两个恒等式,证明了有界线性算子广义谱的谱映照定理.
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| 关 键 词： | 线性算子 广义谱 拟线性投影 广义谱映照定理 |
Generalized Spectrum of Linear Operators |
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| Yuan Guochang.Generalized Spectrum of Linear Operators[J].Journal of China Three Gorges University(Natural Sciences),2009,31(6):97-99. |
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| Authors: | Yuan Guochang |
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| Institution: | Yuan Guochang (Department of Basic Courses, Three Gorges Tourism College, Yichang 443100, China) |
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| Abstract: | The definition of generalized spectrum of linear operator T on complex normed linear spaces was introduced;the necessary and sufficient condition that λ is the generalized spectrum of operator T was discussed;two identities about generalized spectrum of operators were obtained;the generalized spectrum theorem for the linear bound operators was proved. |
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| Keywords: | linear operator generalized spectrum spectrum mapping theorem |
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