| 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l2×l2×l2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. |
| 关键词: Hilbert空间 上三角算子矩阵 点谱 剩余谱 |
| DOI： |
| 分类号:O175.3 |
| 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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| ON THE POINT SPECTRUM AND RESIDUAL SPECTRUM FOR A CLASS OF 3×3 UPPER TRIANGULAR OPERATOR MATRICES |
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WANG Yu-hong1,2, HOU Guo-lin1, Alatancang1
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1.School of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, China;2.School of Mathematics, Chifeng University, Chifeng 024000, 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. |
| Key words: Hilbert space upper triangular operator matrices point spectrum residual spectrum |
