| 局部凸空间上一类线性算子的超不变子空间 |
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| 引用本文： | 郭常超.局部凸空间上一类线性算子的超不变子空间[J].西南师范大学学报(自然科学版),1991,16(4):412-419. |
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| 作者姓名： | 郭常超 |
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| 作者单位： | 解放军外国语学院数学教研室 洛阳471003 |
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| 摘 要： | 本文研究局部凸空间上一类线性算子的非平凡超不变子空间存在性问题.推广了著名的V.Lomonosov定理和C.M.Pearcy定理.并给出一类线性算子非平凡超不变子空间存在的充分条件.
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| 关 键 词： | 局部凸空间 线性算子 超不变子空间 |
HYPERINVARIANT SUBSPACES FOR A CLASS OF LINEAR OPERATORS ON LOCALLY CONVEX SPACES |
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| Guo Changcao.HYPERINVARIANT SUBSPACES FOR A CLASS OF LINEAR OPERATORS ON LOCALLY CONVEX SPACES[J].Journal of Southwest China Normal University(Natural Science),1991,16(4):412-419. |
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| Authors: | Guo Changcao |
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| Abstract: | This paper studies the existing of nontrivial hyperinvariant subspaces for a class of linear operators on locally convex spaces. The author has extended the wellknown V. Lomonosov Theorem and C. M. Pearcy Theorem, and given some sufficient existing conditions for what the above has mentioned. |
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| Keywords: | locally convex spaces compact operator bounded linear operator eigenvalue hyperinvariant subspaces |
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