| 拟相似算子近似点谱的连通分支 |
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| 引用本文： | 阮颖彬. 拟相似算子近似点谱的连通分支[J]. 应用泛函分析学报, 2002, 4(2): 97-103 |
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| 作者姓名： | 阮颖彬 |
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| 作者单位： | 厦门大学数学系,福建,厦门,361005;福建师范大学数学系,福建,福州,350007 |
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| 摘 要： | 讨论了Banach空间X上两个算子T，S拟相似时，近似点谱σα(T)的每一个连通分支与σα（S）以及σs(S)的相交关系，证明了σα(T)的每一个连通分支与σs(S)的交非空，并且给出了σα（T）的连通分支与σα（S）交非空的充要条件。
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| 关 键 词： | 拟相似算子 近似点谱 连通分支 Banach空间 |
Components of the Approximate Point Spectra of Quasisimilar Operators |
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| RUAN Ying-bin. Components of the Approximate Point Spectra of Quasisimilar Operators[J]. Acta Analysis Functionalis Applicata, 2002, 4(2): 97-103 |
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| Authors: | RUAN Ying-bin |
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| Abstract: | In this article, we study the intersection relations of the components of approximate point spectrum σa(T) with σa (S) and σs (S), T and S being quasisimilar operators acting on a Banach space. First, we give the necessary and sufficient conditions for the component of σa(T) to intersect σa(S). Secondly, we prove that every component of σa(T) intersects σs(S), and every component of σs(T) intersects σa(S). |
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| Keywords: | Banach space approxrmate point spectrum component |
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