| 约化代数的交换子与超不变子空间 |
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| 引用本文： | 魏国强.约化代数的交换子与超不变子空间[J].上海师范大学学报(自然科学版),1988(4). |
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| 作者姓名： | 魏国强 |
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| 作者单位： | 华东师范大学数学系 |
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| 摘 要： | 本文证明了多项式正常算子具有性质(P)和多项式正常的约化算子必为正常算子。本文最后证明了若T=L+S且LS=SL,其中S是多项式正常算子,L是代数算子,则T或具有非平凡的超不变子空间,或是恒等算子的常数倍。
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| 关 键 词： | 约化代数 超不变子空间 多项式正常算子 性质(P) |
On Commutants of Reductive Algebras and Hyperinvariant Subspace |
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| Wei Guoqiang.On Commutants of Reductive Algebras and Hyperinvariant Subspace[J].Journal of Shanghai Normal University(Natural Sciences),1988(4). |
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| Authors: | Wei Guoqiang |
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| Institution: | Department of Mathematics |
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| Abstract: | It is proved that the polynomial normal operators have the property (P) and the polynomial normal reductive operators must be normal operators. If T=S+L and SL=LS, where S is a polynomial normal operator, L is an algebriac operator then T either has a non-trivial hyperinvariant subspace or is a multiple of the identity. |
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| Keywords: | reductive algedra hyperinvariant subspace polynomial normal operators property (P) |
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