| 压缩算子与等距算子的拟相似 |
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| 引用本文： | 严子锟. 压缩算子与等距算子的拟相似[J]. 福建师范大学学报(自然科学版), 1995, 11(1): 19-22 |
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| 作者姓名： | 严子锟 |
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| 摘 要： | 本文给出了压缩算子与酉算子（非酉等距算子）拟相似有相同本质谱的充要条件，并且证明了亚正常算子与等距算子如果稠相似必有相同的本质谱。
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| 关 键 词： | 压缩算子 等距算子 拟相似 本质谱 |
Quasisimilarity between Contractions and Isometries |
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| Yan Zikun. Quasisimilarity between Contractions and Isometries[J]. Journal of Fujian Teachers University(Natural Science), 1995, 11(1): 19-22 |
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| Authors: | Yan Zikun |
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| Affiliation: | Department of Mathematics |
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| Abstract: | This paper gives necessary and sufficient condition for quasisimilar contraction and isometry(unitary operator)to have equal essential spectra.It gives also an elementary proof of the equality of essential spectra of densely similar hyponormal operator and isometry. |
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| Keywords: | contraction operator isometric operator quasisimilarity essential spectrum |
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