| 关于Bergman加权移位算子的二次亚正规性 |
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| 引用本文： | 董延武,李春吉.关于Bergman加权移位算子的二次亚正规性[J].山东大学学报(理学版),2010,45(1):107-110. |
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| 作者姓名： | 董延武 李春吉 |
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| 作者单位： | 1. 湛江师范学院基础教育学院数学与计算机科学系,广东,湛江,524300
2. 东北大学理学院,辽宁,沈阳,110004 |
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| 摘 要： | 讨论了Bergman加权移位算子的二次亚正规性。在原有权序列α0:=x,αn:=(n+1)/(n+2)(n≥1)的基础上,得到一个新的加权序列α0:=x,αn:=(n+2)/(n+3)(n≥1),用以验证加权移位算子的二次亚正规性,得出Bergman加权移位算子的二次亚正规性与亚正规性是一样的。
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| 关 键 词： | 次正规 k-亚正规 二次亚正规 |
| 收稿时间： | 2008-10-06 |
Quadratically hyponormality of Bergman weighted shifts |
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| DONG Yan-wu,LI Chun-ji.Quadratically hyponormality of Bergman weighted shifts[J].Journal of Shandong University,2010,45(1):107-110. |
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| Authors: | DONG Yan-wu LI Chun-ji |
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| Institution: | DONG Yan-Wu:School of Mathematics and Computer Science, Fundamental Education College, Zhanjiang Normal University, Zhanjiang 524300, Guangdong, China;
LI Chun-Ji:College of Science, Northeastern University, Liaoning 110004, Shenyang, China |
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| Abstract: | The quadratically hyponomality of Bergman weighted shifts is discussed, and checked that the quadratically hyponomality of the above weighted shifts are considered on the basis of original weight sequence given by The quadratically hyponormality and hyponormality are equivalent for Bergman weighted shift operator. |
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| Keywords: | subnormal k-hyponormal quadratically hyponormal |
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