| 基于单侧加权移位的一类本性正规模型的（U＋K）轨道闭包 |
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| 引用本文： | 翟发辉,王丽娜.基于单侧加权移位的一类本性正规模型的（U＋K）轨道闭包[J].山东科学,2008,21(1):1-5. |
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| 作者姓名： | 翟发辉 王丽娜 |
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| 作者单位： | 青岛科技大学数理学院,山东,青岛,266061 |
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| 摘 要： | 设H是复可分无穷维Hilbert空间，W、V分别是H上具有不同权序列的有界本性正规单的单侧加权移位算子．本文刻画T=W＋V的（U＋K）-轨道的范数闭包．
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| 关 键 词： | (U+K)-轨道 单的单侧加权移位 本性正规算子 酉算子+紧算子 扰动 |
| 文章编号： | 1002-4026(2008)01-0001-04 |
| 修稿时间： | 2007年10月20 |
A Unilateral Weighted Shifts Based (U+K)-orbit Enclosure of a Class Essentially Normal Model |
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| ZHAI Fa-hui,WANG Li-na.A Unilateral Weighted Shifts Based (U+K)-orbit Enclosure of a Class Essentially Normal Model[J].Shandong Science,2008,21(1):1-5. |
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| Authors: | ZHAI Fa-hui WANG Li-na |
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| Institution: | ( School of Sciences, Qingdao University of Science and Technology, Qingdao 266061, China ) |
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| Abstract: | Let H be a complex separable infinite dimensional Hillbert space, and W and V be bounded essentially normal injective unilateral weighted shifts operators with different weighted sepuences on H. The （ U ＋ K）-orbit norm enclosure of an essentially normal operator, T = W＋ V is described. |
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| Keywords: | （U ＋ K）-orbit injective unilateral weighted shift essentially normal operator unitary operator plus compact operator perturbation |
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