| 线性算子束的谱 |
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| 引用本文： | 任芳国,黄建科. 线性算子束的谱[J]. 东北师大学报(自然科学版), 2010, 42(1) |
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| 作者姓名： | 任芳国 黄建科 |
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| 作者单位： | 陕西师范大学数学与信息科学学院,陕西,西安,710062;西安陆军学院科学文化基础教研室,陕西,西安,710108 |
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| 基金项目： | 国家自然科学基金资助项目,陕西师范大学重点基金资助项目 |
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| 摘 要： | 设H为复Hiblert空间,对给定的算子A∈B(H),B∈B(H),主要从三个方面研究线性算子束Aλ+B的谱,即基本性质、非正则性、谱的分布情况.
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| 关 键 词： | 线性算子束 非正则性 谱 |
On the spectra of linear operator pencils |
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| REN Fang-guo,HUANG Jian-ke. On the spectra of linear operator pencils[J]. Journal of Northeast Normal University (Natural Science Edition), 2010, 42(1) |
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| Authors: | REN Fang-guo HUANG Jian-ke |
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| Abstract: | Given the operators A,B with A,B acting on complex Hilbert spaces H.The spectra of linear operator pencils Aλ+B are presented.Firstly,the basic properties for spectra of linear pencils are discussed.Secondly,the non-regularity are obtained.Lastly,the distribution with spectra of linear pencils is explored. |
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| Keywords: | linear operator pencils non-regularity spectra |
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