| CFI算子与(ω)性质 |
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| 引用本文： | 戴磊.CFI算子与(ω)性质[J].吉林大学学报(理学版),2002,57(5):1007-1013. |
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| 作者姓名： | 戴磊 |
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| 作者单位： | 渭南师范学院 数学与统计学院, 陕西 渭南 714099 |
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| 摘 要： | 根据一致Fredholm指标性质定义一种新的谱集, 利用该谱集与Browder谱之间的关系给出Hilbert空间中有界线性算子满足(ω)性质的充要条件, 并刻画多项式函数的(ω)性质.
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| 关 键 词： | (ω)性质 一致Fredholm指标 谱 |
| 收稿时间： | 2019-01-09 |
CFI Operators and Property (ω) |
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| DAI Lei.CFI Operators and Property (ω)[J].Journal of Jilin University: Sci Ed,2002,57(5):1007-1013. |
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| Authors: | DAI Lei |
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| Institution: | School of Mathematics and Statistics, Weinan Normal University, Weinan 714099, Shaanxi Province, China
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| Abstract: | According to the property of consistence in Fredholm index, a new spectral set was defined. By using the relationship between the spectral set and Browder spectrum, the author gave the necessary and sufficient conditions for a bounded linear operator on a Hilbert space to satisfy the property (ω), and characterized the property (ω) of polynomial functions. |
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| Keywords: | property (ω) consistence in Fredholm index (CFI) spectrum |
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