| 有限维Hilbert空间的强自反子空间格代数模的性质 |
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| 引用本文： | 宋道金,赵文玲. 有限维Hilbert空间的强自反子空间格代数模的性质[J]. 山东师范大学学报(自然科学版), 2003, 18(4): 16-18 |
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| 作者姓名： | 宋道金 赵文玲 |
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| 作者单位： | 1. 山东理工大学计算机教学部,255049,山东淄博
2. 山东理工大学数学与信息科学学院,255049,山东淄博 |
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| 摘 要： | 定义了空间格代数的(弱闭双边)模，对有限维Hilbert空间的强自反子空间格代数的模中的有限秩算子进行了讨论，得到有限秩算子一定可以表示为秩l算子的和．
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| 关 键 词： | 有限维Hilbert空间 强自反子空间格代数模 有限秩算子 线性算子 |
THE REPRESENTATION (I) OF FINITE RANK OPERATOR |
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| Song Daojin ) Zhao Wenling ). THE REPRESENTATION (I) OF FINITE RANK OPERATOR[J]. Journal of Shandong Normal University(Natural Science), 2003, 18(4): 16-18 |
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| Authors: | Song Daojin ) Zhao Wenling ) |
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| Affiliation: | Song Daojin 1) Zhao Wenling 2) |
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| Abstract: | The object of this paper is to study the finite rank operator in the weakly closed modules of the algebra of subspace lattice,and we obstain every operator of finite rank in the modules of the algebra of the finite Hilbert 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 property |
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