| 严格循环与强不可约分解 |
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| 引用本文： | 纪友清,韩黎明. 严格循环与强不可约分解[J]. 东北数学, 2001, 17(4): 449-460 |
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| 作者姓名： | 纪友清 韩黎明 |
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| 作者单位： | JI Youqing (Department of Mathematics，Jilin University，Changchun，130012)HAN Liming (Section of Mathematics，Technology College of PLA Armoured Force，Changchun，130117) |
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| 基金项目： | The NSF (l990101l) of China |
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| 摘 要： | Let W be an injective unilateral weighted shift, and let W(n) be the orthogonal direct sum of n copies of W. In this paper, we prove that, if the commutant of W is strictly cyclic, then W(n) has a unique (SI) decomposition with respect to similarity for every natural number n.
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| 关 键 词： | 强循环 强不可约 加权位移 希尔伯特空间 |
Strongly Cyclic and Strongly Irreducible Decomposition |
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| JI Youqing. Strongly Cyclic and Strongly Irreducible Decomposition[J]. Northeastern Mathematical Journal, 2001, 17(4): 449-460 |
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| Authors: | JI Youqing |
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| Affiliation: | [1]DepartmentofMathematics,JilinUniversity,Changchun,130012 [2]SectionofMathematics,TechnologyCollegeofPLAArmouredForce,Changchun,130117 |
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| Abstract: | Let W be an injective unilateral weighted shift, and let W^(n) be the orthogonal direct sum of n copies of W. In this paper, we prove that, if the commutant of W is strictly cyclic, then W^(n) has a unique (SI) decomposition with respect to similarity for every natural number n. |
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| Keywords: | strictly cyclic weighted shift strongly irreducible (SI) decomposition |
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