| 算子权移位的换位代数的交换性 |
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| 引用本文： | 曹学广,岳华.算子权移位的换位代数的交换性[J].应用泛函分析学报,2005,7(1):22-27. |
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| 作者姓名： | 曹学广 岳华 |
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| 作者单位： | 吉林大学数学研究所,吉林,长春,130012 |
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| 基金项目： | SupportedbyNSFofChina(10371049) |
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| 摘 要： | 令T是以{Wk}∞k=1B(Cn)为权序列的内射算子权移位.设T是强不可约的,而且sup1k<∞‖W-1k‖< ∞.用A′(T)表示T的换位代数,radA′(T)表示A′(T)的Jacobson根.本文刻划了radA′(T)并且证明了商代数A′(T)/radA′(T)是交换的.
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| 关 键 词： | 算子权移位 强不可约 换位代数 Jacobson根 |
Commutativity of the Commutant of Operator Weighted Shifts |
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| CAO Xue-guang,YUE Hua.Commutativity of the Commutant of Operator Weighted Shifts[J].Acta Analysis Functionalis Applicata,2005,7(1):22-27. |
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| Authors: | CAO Xue-guang YUE Hua |
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| Institution: | CAO Xue-guang,YUE Hua Institute of Mathematics,Jilin University,Changchun 130012,China |
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| Abstract: | Let T be an injective operator weighted shift with the weight sequence {Wk}∞k=1 (Ω)(B)(Cn).Suppose that T is strongly irreducible and sup 1≤k≤∞‖Wk-1‖＜+∞. Let (A)(T) be the commutant of T, and rad (A)′ (T) the Jacobson radical of (A)' (T). In this paper, we characterize rad (A)′ (T) and prove that the quotient (A)(T)/rad (A)′ (T) is commutative. |
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| Keywords: | operator weighted shift strongly irreducible commutant jacobson radical |
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