| 有限秩算子及n-自反性 |
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| 引用本文： | 李鹏同,陈培鑫.有限秩算子及n-自反性[J].曲阜师范大学学报,1997(3). |
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| 作者姓名： | 李鹏同 陈培鑫 |
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| 作者单位： | 山东工程学院基础部(李鹏同)，华东石油大学数理系(陈培鑫) |
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| 摘 要： | 主要工作：（１）设Ｓ是向量空间Ｖ上的有限维线性算子空间，ＳＦ表示Ｓ中全体有限秩算子，则Ｓ是ｎ＿代数自反的等价于ＳＦ是ｎ＿代数自反的；（２）Ｓ是Ｂａｎａｃｈ空间Ｘ上的连续线性算子空间，当Ｓ满足一定条件时，Ｓ是ｎ＿拓扑代数自反的等价于ＳＦ是ｎ＿拓扑代数自反的
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| 关 键 词： | n－自反 n－代数自反 n－拓扑代数自反 有限秩算子 |
FINITE_RANK OPERATORS AND n _REFLEXIVITY |
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| Abstract: | In this paper two results given by D. Larson are generalized. First, let S be a finite dimensional linear subspace of the algebra of all linear operators form vector space V into itself, and let S F denote the space of all finite_rank operators in S , then S is n _algebraically reflexive iff S F is n _algebraically reflexive. Second, let S be a linear subspace of the algebra of all continuous linear operators on a Banach space X , then S is n _topologically algebraically reflexive iff S F is n _topologically algebraically reflexive when S satisfies some properties. |
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| Keywords: | n _Reflexive n _Algebraically reflexive n _Topologically algebraically reflexive Finite_rank operator |
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