| 广义Kato分解与拓扑一致降指数 |
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| 引用本文： | 江樵芬,钟怀杰.广义Kato分解与拓扑一致降指数[J].数学学报,2012(2):251-258. |
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| 作者姓名： | 江樵芬 钟怀杰 |
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| 作者单位： | 福建师范大学数学与计算机科学学院 |
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| 基金项目： | 国家自然科学基金资助项目(11171066);高等学校博士学科点专项科研基金(2010350311001);福建省自然科学基金(2011J05002);福建省教育厅基金(JB10042) |
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| 摘 要： | 讨论了算子的广义Kato分解与拓扑一致降指数,给出算子既有广义Kato分解又有拓扑一致降指数的等价刻画,并由此对算子谱精细结构进行进一步的细化.
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| 关 键 词： | 广义Kato分解 拓扑一致降指数 谱 |
Generalized Kato Decomposition and Topological Uniform Descent |
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| Qiao Fen JIANG Huai Jie ZHONG.Generalized Kato Decomposition and Topological Uniform Descent[J].Acta Mathematica Sinica,2012(2):251-258. |
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| Authors: | Qiao Fen JIANG Huai Jie ZHONG |
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| Affiliation: | Qiao Fen JIANG Huai Jie ZHONG School of Mathematics and Computer Science,Fujian Normal University, Fuzhou 350007,P.R.China |
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| Abstract: | We discuss the generalized Kato decomposition and the topological uniform descent of an operator.We give a characterization of an operator which both admits a generalized Kato decomposition and has topological uniform descent.By means of this result,we obtain a new spectral structural diagram of an operator. |
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| Keywords: | generalized Kato decomposition topological uniform descent spectrum |
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