| 重单值扩张算子的谱结构与拟相似 |
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| 引用本文： | 严子锟.重单值扩张算子的谱结构与拟相似[J].数学学报,1999,42(4):605-610. |
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| 作者姓名： | 严子锟 |
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| 作者单位： | 福建师范大学数学系,福州,350007 |
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| 基金项目： | 国家自然科学基金，福建省自然科学基金 |
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| 摘 要： | 本文证明了，若T是重单值扩张算子，则若T1是重单值扩张（C）算子，T2是任一有界线性算子，T1与T2拟相似，则σe（T1）＝σk（T1）σk（T2）＝σe（T2）
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| 关 键 词： | Hilbert空间 有界线性算子 单值扩张性 拟相似 本质谱 |
| 修稿时间： | :1997-11-0 |
Spectral Structure of Operators with Double Single-Valued Extension Property and Quasisimilarity |
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| Yan Zikun.Spectral Structure of Operators with Double Single-Valued Extension Property and Quasisimilarity[J].Acta Mathematica Sinica,1999,42(4):605-610. |
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| Authors: | Yan Zikun |
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| Institution: | Yan Zikun (Department of Mathematics, Fujian Normal University, Fuzhou 350007, P. R. China) |
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| Abstract: | In this paper, we show that if T has double single-valued extension property,then σ(T) =σD(T) U (T) U σ(T). If T1 is (C) operator and has double singlevalued edension property and T2 is any bounded linear operator quasisimilar to T1,then σe(T1) =σk(T1) σk(T2) = σe(T2). |
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| Keywords: | Hilbert space Bounded linear operator Single-valued extension property Essential spectrum Quasisimilarity |
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