| 有限秩算子的表示（I） |
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| 引用本文： | 赵文玲,宋道金,等.有限秩算子的表示（I）[J].纯粹数学与应用数学,2001,17(4):343-348. |
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| 作者姓名： | 赵文玲 宋道金 |
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| 作者单位： | [1]山东工程学院，山东淄博255012 [2]淄博学院，山东淄博250091 |
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| 摘 要： | 定义了子空间格代数的（弱闭双边）模，对有限维Hilbert空间的强自反子空间格代数的模及原子Boolean格代数的模中的有限秩算子进行了讨论，得到了有限秩算子一定可以表示为秩1算子的和。
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| 关 键 词： | 子空间格代数 有限维Hilbert空间 模 有限秩算子 原子Boolean格代数 |
The representation of finite rank operatior (I) |
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| ZHAO Wen ling ,SONG Dao jin ,HE Hong.The representation of finite rank operatior (I)[J].Pure and Applied Mathematics,2001,17(4):343-348. |
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| Authors: | ZHAO Wen ling SONG Dao jin HE Hong |
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| Affiliation: | ZHAO Wen ling 1,SONG Dao jin 2,HE Hong 1 |
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| Abstract: | The finite rank operator in the weakly closed modules of the algebra of subspace lattice is studied,we obtain every operator of finite rank in the modules of the algebra of the subspace lattices can be written as a finite sum of operator of rank one each belonging to the modules. |
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| Keywords: | the algebra of subspace lattice the module of the algebra of subspace lattice finite rank operator representation |
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