| 加权移位算子的可亚正规性及亚正规性 |
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| 引用本文： | 葛斌,周庆梅.加权移位算子的可亚正规性及亚正规性[J].黑龙江工程学院学报,2011(3):73-75. |
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| 作者姓名： | 葛斌 周庆梅 |
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| 作者单位： | 哈尔滨工程大学理学院;东北林业大学图书馆; |
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| 基金项目： | 国家自然科学基金项目(11001063); 中央高校基本科研业务项目(HEUCF20111134) |
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| 摘 要： | 讨论加权移位算子的亚正规性与可亚正规性的关系.从例子入手说明并非所有的可亚正规算子是亚正规的,同时证明一定条件下的可亚正规加权移位算子是亚正规的.
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| 关 键 词： | 亚正规算子 可亚正规算子 算子权移位 正算子 |
Hyponormalizabilization and hyponormality of weighted shifts operatorts |
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| GE Bin,ZHOU Qing-mei.Hyponormalizabilization and hyponormality of weighted shifts operatorts[J].Journal of Heilongjiang Institute of Technology,2011(3):73-75. |
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| Authors: | GE Bin ZHOU Qing-mei |
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| Affiliation: | GE Bin1,ZHOU Qing-mei2(1.Department of Applied Mathematics,Harbin Engineering University,Harbin 150001,China,2.Library,Northeast Forestry University,Harbin 150040,China) |
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| Abstract: | The paper investigates the relation of the hyponormalizable weighted shifts operators and hyponormal weighted shifts operators.We give examples to show that hyponormalizable weighted shifts operators can not imply hyponormal and prove that hyponormalizable weighted shifts operators are hyponormal on certain conditions. |
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| Keywords: | hyponormal operator hyponormalizable operator weighted shifts positive operator |
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