| 套代数模中的插值问题 |
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| 引用本文： | 李鹏同,鲁世杰. 套代数模中的插值问题[J]. 东北数学, 2002, 18(4): 323-329 |
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| 作者姓名： | 李鹏同 鲁世杰 |
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| 作者单位： | LI Pengtong (Department of Mathematics，Nanjing University，Nanjing，210093)LU Shijie (Department of Mathematics，Zhejiang University，Hangzhou，310027) |
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| 基金项目： | The NNSF (19871075) of China |
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| 摘 要： | Let U be a weakly closed nest algebra module acting on a Hilbert space H. Given two operators X and Y in B(H), a necessary and sufficient condition for the existence of an operator T in U satisfying TX = Y is provided.
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| 关 键 词： | 套代数 插值问题 Hilbert空间 算子 弱闭模 同态 |
Interpolation Problems for Nest Algebra Modules |
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| LI Pengtong. Interpolation Problems for Nest Algebra Modules[J]. Northeastern Mathematical Journal, 2002, 18(4): 323-329 |
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| Authors: | LI Pengtong |
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| Affiliation: | [1]DepartmentofMathematics,NanjingUniversity,Nanjing210093 [2]DepartmentofMathematics,ZhejiangUniversity,Hangzhou,310027 |
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| Abstract: | Let U be a weakly closed nest algebra module acting on a Hilbert space H.Given two operators X and Y in B(H),a necessary and sufficient condition for the existence of an operator T in U satisfying TX=Y is provided. |
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| Keywords: | nest algebra weakly closed nest algebra module interpolation |
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