| 线性算子束谱的一些性质刻画 |
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| 引用本文： | 任芳国,杨晓苗.线性算子束谱的一些性质刻画[J].纺织高校基础科学学报,2012,25(2):127-131. |
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| 作者姓名： | 任芳国 杨晓苗 |
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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 |
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| 基金项目： | The National Natural Science Foundation of China(1971123);The National Science Foundation of Shaanxi(2011JM1007) |
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| 摘 要： | 研究了希尔伯特空间上算子束的特性.利用算子谱理论及空间分解的技巧,通过构造算子矩阵的方法,得到线性算子束Aλ＋B谱的性质及Aλ＋B的非正规性的充分必要条件.
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| 关 键 词： | 算子束 算子束的非正则性 算子束的谱 |
Some properties on the spectrum of linear operator pencils |
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| REN Fang-guo
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YANG Xiao-miao.Some properties on the spectrum of linear operator pencils[J].Basic Sciences Journal of Textile Universities,2012,25(2):127-131. |
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| Authors: | REN Fang-guo YANG Xiao-miao |
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| Affiliation: | (College of Mathematics and Information Science,Shaanxi Normal University,Xi′an 710062,China) |
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| Abstract: | Let H be separable Hilbert spaces and(A,B) be a given pair of operators in B(H).Some properties of the spectrum σ(λA+B) of λA+B is considered and the necessary and sufficient conditions have been obtained for Aλ+B to be non-regular by using the method of block operator construction and the theory of operator spectrum. |
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| Keywords: | linear pencil spectrum of linear pencil non-regularity of linear pencil |
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