| 一类3×3上三角算子矩阵的点谱和剩余谱 |
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| 引用本文： | 王玉红,侯国林,阿拉坦仓.一类3×3上三角算子矩阵的点谱和剩余谱[J].数学杂志,2014,34(5):931-940. |
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| 作者姓名： | 王玉红 侯国林 阿拉坦仓 |
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| 作者单位： | 内蒙古大学数学科学学院;赤峰学院数学学院; |
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| 基金项目： | 国家自然科学基金(11371185;11361034);内蒙古自然科学基金(2012MS0105)资助 |
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| 摘 要： | 本文完全描述了一类3×3上三角算子矩阵的点谱和剩余谱,并将剩余谱表示为一些互不相交子集合的并集,在l~2×l~2×l~2中构造了具体例子说明该算子的剩余谱可能非空,从而验证了所得结果的有效性.
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| 关 键 词： | Hilbert空间 上三角算子矩阵 点谱 剩余谱 |
| 收稿时间： | 2012/9/7 0:00:00 |
| 修稿时间： | 2013/2/22 0:00:00 |
ON THE POINT SPECTRUM AND RESIDUAL SPECTRUM FOR A CLASS OF 3×3 UPPER TRIANGULAR OPERATOR MATRICES |
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| WANG Yu-hong,HOU Guo-lin and Alatancang.ON THE POINT SPECTRUM AND RESIDUAL SPECTRUM FOR A CLASS OF 3×3 UPPER TRIANGULAR OPERATOR MATRICES[J].Journal of Mathematics,2014,34(5):931-940. |
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| Authors: | WANG Yu-hong HOU Guo-lin and Alatancang |
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| Institution: | School of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, China;School of Mathematics, Chifeng University, Chifeng 024000, China,School of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, China and School of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, China |
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| Abstract: | In this paper, the point spectrum and residual spectrum for a class of 3×3 upper triangular operator matrices are described completely, and the residual spectrum of the operator is divided into some disjoint subsets. Moreover, some examples of l2×l2×l2 are constructed to show that the residual spectrum of the operator may be nonempty, which verifies the effectiveness of the result. |
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| Keywords: | Hilbert space upper triangular operator matrices point spectrum residual spectrum |
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