| 加权移位算子的次正规性及可亚正规性 |
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| 引用本文： | 潘正义.加权移位算子的次正规性及可亚正规性[J].天津农学院学报,1999(1). |
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| 作者姓名： | 潘正义 |
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| 作者单位： | 天津农学院基础部!天津，300381 |
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| 摘 要： | 本文讨论了加权移位算子为次正规算子和可正规化的条件。主要结果为定理一、二、四。定理一是加权移位算子为次正规算子的必要条件，定理二是单侧加权移位算子可亚正规化的充要条件，定理四说明双侧加权移位算子可亚正规化等价于可正规化。
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| 关 键 词： | 单侧加权移位算子 双侧加权移位算子 正规性 次正规性 亚正规性 |
Subnormality and Hyponormality of Weighted Shifts Operators |
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| Pan Zhengyi.Subnormality and Hyponormality of Weighted Shifts Operators[J].Journal of Tianjin Agricultural College,1999(1). |
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| Authors: | Pan Zhengyi |
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| Abstract: | In this paper,the conditions on a weighted shifts operators to be subnormal or normalizable arediscussed.Main results are Theorems 1, 2,and 4. Theorem 1 is a necessary condition when a weighted shiftoperator becomes subnormal.Theorem 2 is a sufficient and necessary condition when unilateral weightedshifts become hyponormalizable.In Theorem 4,bilateral weighted shifts are hyponorrnalizable iff they arenormliable. |
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| Keywords: | Unilateral weighted shifts Bilateral weighted shifts Normality Subnormality Hyponormality |
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