| Banach空间上有界线性算子的广义谱分析 |
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| 引用本文： | 袁国常. Banach空间上有界线性算子的广义谱分析[J]. 三峡大学学报(自然科学版), 2010, 32(1): 106-108 |
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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： | 在文献[1]的基础上,进一步在Banach空间上讨论了有界线性算子T的广义谱集σG(T),证明了当λ∈σR(T)∪σP(T)时R(Tλ)闭,则σG(T)即为经典谱分类中的T的连续谱集σC(T).
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| 关 键 词： | 有界线性算子 谱 广义谱 连续谱 |
Generalized Spectrum Analysis of Bounded Linear Operators on Banach Space |
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| Yuan Guochang. Generalized Spectrum Analysis of Bounded Linear Operators on Banach Space[J]. Journal of China Three Gorges University(Natural Sciences), 2010, 32(1): 106-108 |
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| Authors: | Yuan Guochang |
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| Affiliation: | Yuan Guochang(Department of Basic Caurses,Three Gorges Travel Vocational College,Yichang 443100,China) |
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| Abstract: | Suppose X is the Banach space, T is a bounded 1 spectrum set σG （T） of T was discussed. That the σG（T） proved. WhenR（Tλ） close asλ∈R（T） UσP（T）. inear operator map X into X. The generalized is the continuous spectrum set σC（T） of T was |
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| Keywords: | bounded linear operator spectrum generalized spectrum continuous spectrum |
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