| 二宽度CSL代数与套代数的因子分解 |
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| 引用本文： | 杨有龙,吴艳. 二宽度CSL代数与套代数的因子分解[J]. 数学季刊, 2006, 21(1): 10-14 |
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| 作者姓名： | 杨有龙 吴艳 |
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| 作者单位： | Department of Mathematical Sciences，Xidian University，Xi'an 710071，China |
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| 基金项目： | Supported by the National Science Foundation of China(90205019) |
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| 摘 要： | In this paper, we show that the invertible operator T, which is a bounded linear functional on a separable Hilbert space H, could factor as T=US, where U is unitary and 5 belongs to width-two CSL algebra alg(?)((?)= M∨N) when nest M or N is a countable nest, or S belongs to alg(?)-1 when nests M and N are countable nests. For the factorization of nest,we obtain that T factors as T=US where S∈DN-1 and U is unitary as N be a countable nest.
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| 关 键 词： | 代数学 因数分解 倒转算子 线性函数 |
Factorization of Width-two CSL Algebras and Nest Algebras |
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| YANG You-long,WU Yan. Factorization of Width-two CSL Algebras and Nest Algebras[J]. Chinese Quarterly Journal of Mathematics, 2006, 21(1): 10-14 |
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| Authors: | YANG You-long WU Yan |
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| Abstract: | |
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| Keywords: | width-two CSL algebra nest algebra factorization invertible operator |
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