| (z)性质的一个注记 |
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| 引用本文： | 戴磊. (z)性质的一个注记[J]. 吉林大学学报(理学版), 2018, 56(6): 1354-1358 |
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| 作者姓名： | 戴磊 |
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| 作者单位： | 1. 渭南师范学院 数理学院, 陕西 渭南 714099; 2. 陕西师范大学 计算机科学学院, 西安 710119 |
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| 摘 要： | 利用算子的拟幂零部分、 解析核及单值扩张性质(SVEP)考虑算子T的(az)性质和(z)性质, 证明了若对任意的λ∈σf(T), H0(T-λI)都为非零闭子空间, 则T满足(az)性质, 并给出T满足(z)性质的两个等价刻画.
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| 关 键 词： | (z)性质 (az)性质 拟幂零部分 解析核 单值扩张性质 |
| 收稿时间： | 2018-01-15 |
A Note on Property (z) |
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| DAI Lei. A Note on Property (z)[J]. Journal of Jilin University: Sci Ed, 2018, 56(6): 1354-1358 |
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| Authors: | DAI Lei |
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| Affiliation: | 1. School of Mathematics and Physics, Weinan Normal University, Weinan 714099, Shaanxi Province, China;2. School of Computer Science, Shaanxi Normal University, Xi’an 710119, China
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| Abstract: | By using quasi nilpotent part, analytic core and single valued extension property (SVEP) of operators, the author considered property (az) and property(z) of operator T, proved if H0(T-λI) was closed for every λ∈σf(T), then T satisfied property (az),and gave two equivalent characterizations of T satisfying property (z). |
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| Keywords: | property (z) property (az) quasi nilpotent part analytic core single valued extension property (SVEP) |
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