| 局部凸线性拓扑空间中拟幂零等价的线性算子 |
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| 引用本文： | 汪海明.局部凸线性拓扑空间中拟幂零等价的线性算子[J].西南师范大学学报(自然科学版),1989,14(2):9-18. |
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| 作者姓名： | 汪海明 |
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| 作者单位： | 西南师范大学数学系 |
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| 摘 要： | 本文研究局部凸空间中线性算子的谱理论,给出了局部凸空间中线性算子的潜映射定理、拟幂零等价算子及可分解算子的定义,研究了拟幂零等价算子与可分解算子的性质及其相互关系。
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| 关 键 词： | 局部凸 线性拓扑空间 线性算子 |
QUASI-NILPOTENT EQUIVALENCE AND DECOMPOSIBILITY OF LINEAR OPERATORS ON A LOCALLY CONVEX SPACE |
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| Wang Haiming.QUASI-NILPOTENT EQUIVALENCE AND DECOMPOSIBILITY OF LINEAR OPERATORS ON A LOCALLY CONVEX SPACE[J].Journal of Southwest China Normal University(Natural Science),1989,14(2):9-18. |
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| Authors: | Wang Haiming |
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| Institution: | Southwest China Teachers University |
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| Abstract: | In this paper, the definitions of quasi-niipotent equivalence and decomposibility of linear operators on a locally convex space were given, and some results as in Banach spaces are obtained. |
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| Keywords: | locally convex linear topological space linear operator spectrum resolvent set single-valued extension property (SVEP) quasi-nilpotent equivalence |
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