| 关于幂有限秩算子 |
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| 引用本文： | 曾清平,吴珍莺.关于幂有限秩算子[J].数学研究及应用,2019,39(4):378-382. |
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| 作者姓名： | 曾清平 吴珍莺 |
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| 作者单位： | 福建农林大学计算机与信息学院, 福建 福州 350002,福建师范大学数学与信息学院, 福建 福州 350117 |
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| 基金项目： | 福建省高校杰出青年科研人才培育计划(Grant Nos.闽教科[2015]54号,闽教科[2016]23号),国家自然科学基金(Grant No.11401097),福建省自然科学基金资助(Grant No.2016J05001). |
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| 摘 要： | An operator F ∈ B(X) is called power finite rank if F~n is of finite rank for some n ∈ N.In this note, we provide several interesting characterizations of power finite rank operators. In particular, we show that the class of power finite rank operators is the intersection of the class of Riesz operators and the class of operators with eventual topological uniform descent.
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| 关 键 词： | 幂有限秩算子 Drazin可逆 有拓扑一致降指数 黎斯算子 |
On Power Finite Rank Operators |
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| Qingping ZENG and Zhenying WU.On Power Finite Rank Operators[J].Journal of Mathematical Research with Applications,2019,39(4):378-382. |
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| Authors: | Qingping ZENG and Zhenying WU |
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| Abstract: | An operator $F \in \mathcal{B}(X)$ is called power finite rank if $F^{n}$ is of finite rank for some $n \in \mathbb{N}$. In this note, we provide several interesting characterizations of power finite rank operators. In particular, we show that the class of power finite rank operators is the intersection of the class of Riesz operators and the class of operators with eventual topological uniform descent. |
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| Keywords: | power finite rank operator Drazin invertible eventual topological uniform descent Riesz operator |
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