| 谱距离与谱收敛 |
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| 引用本文： | 唐春雷. 谱距离与谱收敛[J]. 西南师范大学学报(自然科学版), 1992, 17(1): 7-12 |
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| 作者姓名： | 唐春雷 |
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| 作者单位： | 西南师范大学数学系 重庆630715 |
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| 摘 要： | 研究了两个算子的谱及局部谱与它们的谱距离之间的关系:定理3 若L(X)序列完备,T_1,T_2∈L(X),T_1具有单值扩张性质,则d(σ(T_1),σ(T_2))≤ρ(T_1,T_2)定理4 若X序列完备,T_1,T_2,∈L(X),T_2具有单值扩张性质,则对任何x∈X,d(σ(T_1,x)σ(T_2,x))≤ρ(T_1,T_2)还利用以上结果讨论了谱收敛的一些性质.
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| 关 键 词： | 算子 谱 谱距离 谱收敛 单值扩张 |
SPECTRAL DISTANCE AND SPECTRAL CONVERGENCE |
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| Tang Churilei. SPECTRAL DISTANCE AND SPECTRAL CONVERGENCE[J]. Journal of southwest china normal university(natural science edition), 1992, 17(1): 7-12 |
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| Authors: | Tang Churilei |
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| Abstract: | It studied the relations between spectrum or local spectrum and spectral distance qf two linear continuous operators:Theorem 3 If L(X) is sequentially complete, T1,T2,L(X), T1 has the single valued extension property, thenTheorem 4 If X is sequentially complete, T1,T2L(X), T2 has the single valued extension property, then for every x X,It also used these results to discuss some properties of spectral convergence. |
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| Keywords: | spectrum local spectrum spectral distance single valued extension property spectral convergence |
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