| 拟相似算子的右本质谱的连通分支 |
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| 引用本文： | 苏维钢.拟相似算子的右本质谱的连通分支[J].数学学报,2005,48(5):993-998. |
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| 作者姓名： | 苏维钢 |
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| 作者单位： | [1]河北师范大学数学与信息科学学院,石家庄050016 [2]福建师范大学数学与计算机科学学院,福州350007 |
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| 基金项目： | 国家自然科学基金资助项目（10471025）;福建省教育厅基金资助项目（JA04170） |
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| 摘 要： | 设算子S和T拟相似,通过引进RT类算子、R类算子和RR类算子的概念,给出右本质谱σre(S)的连通分支与σre(T)相交的充分条件和必要条件以及σre(S)的连通分支与本质谱盯σe(T)的某些子集的相交关系,并给出算子是属于RT类算子和RR类算子的充分条件和必要条件.
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| 关 键 词： | 有界线性算子 拟相似 右本质谱 |
| 文章编号： | 0583-1431（2005）05-0993-06 |
| 收稿时间： | 2003-12-09 |
| 修稿时间： | 2003-12-092004-10-20 |
Components of the Right Essential Spectrum of Quasisimilar Operators |
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| Su WeiGang.Components of the Right Essential Spectrum of Quasisimilar Operators[J].Acta Mathematica Sinica,2005,48(5):993-998. |
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| Authors: | Su WeiGang |
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| Institution: | Wei Gang SU School of Mathematics and Information Science, Hebei Normal University, Shijiazhuang 050016, P. R. China School of Mathematics and Computer Science, Fujian Normal University, Fuzhou 350007, P. R. China |
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| Abstract: | Let S and T be quasisimilar operators. By introducing the concepts of the RT-class operator, the -R-class operator and the RR-class operator, this paper gives some sufficient and necessary conditions under which each component of σre(5) intersects σre(T), and gives some sufficient conditions under which each component of σre(S) intersets some subsets of σ3(T), and also gives some sufficient and necessary conditions under which an operator is an RT-class operator and an RR-class operator respectively. |
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| Keywords: | Bounded linear operator Quasisimilarity Right essential spectrum |
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