| THE (U K)-ORBITS OF ESSENTIALLY NORMAL OPERATORS AND THEIR STRONG IRREDUCIBILITY |
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| 引用本文： | Ji Youqing,Jiang Chunlan. THE (U K)-ORBITS OF ESSENTIALLY NORMAL OPERATORS AND THEIR STRONG IRREDUCIBILITY[J]. 数学年刊B辑(英文版), 1998, 19(2): 217-228 |
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| 作者姓名： | Ji Youqing Jiang Chunlan |
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| 摘 要： | §１．ＩｎｔｒｏｄｕｃｔｉｏｎＬｅｔＴｂｅａｌｉｎｅａｒ，ｂｏｕｎｄｅｄｏｐｅｒａｔｏｒａｃｔｉｎｇｏｎａｃｏｍｐｌｅｘ，ｓｅｐａｒａｂｌｅ，ｉｎｆｉｎｉｔｅｄｉｍｅｎｓｉｏｎａｌＨｉｂｅｒｔｓｐａｃｅＨ．Ｗｅｃａｌ（Ｕ＋Ｋ）（Ｔ）＝｛ＲＴＲ－１，Ｒ...
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| 收稿时间： | 1995-04-21 |
| 修稿时间： | 1997-03-13 |
THE (U+K)-ORBITS OF ESSENTIALLY NORMAL OPERATORS AND THEIR STRONG IRREDUCIBILITY |
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| Ji Youqing and Jiang Chunlan. THE (U+K)-ORBITS OF ESSENTIALLY NORMAL OPERATORS AND THEIR STRONG IRREDUCIBILITY[J]. Chinese Annals of Mathematics,Series B, 1998, 19(2): 217-228 |
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| Authors: | Ji Youqing and Jiang Chunlan |
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| Affiliation: | JI YOUQING * JIANG CHUNLAN * |
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| Abstract: | The authors characterize the (U K) orbits of a class essentially normal operators and prove that some essentially normal operators with connected spectrum are strongly irreducible after a small compact perturbation. This partially answers a question of Domigo A. Herrero. |
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| Keywords: | Strongly irreducible operator Compact perturbation Normal operator |
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