| Hamilton体系与辛正交系的完备性* |
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| 引用本文： | 张鸿庆,阿拉坦仓,钟万勰.Hamilton体系与辛正交系的完备性*[J].应用数学和力学,1997,18(3):217-221. |
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| 作者姓名： | 张鸿庆 阿拉坦仓 钟万勰 |
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| 作者单位： | 大连理工大学, 大连 116023 |
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| 摘 要： | 本文定义了一个Banach空间ZH,并证明了一类Hamilton体系的本征函数系(辛正交系)在ZH空间中具有完备性.还证明了如下结论ZH空间能连续嵌入到L20,1]×L20,1]但ZH≠L20,1]×L20,1].
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| 关 键 词： | Hamilton体系 完备性 辛正交系 |
| 收稿时间： | 1995-09-06 |
The Hamiltonian System and Completeness of Symglectic Orthogonal System |
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| Zhang Hongqing, Alatancang, Zhong Wanxie.The Hamiltonian System and Completeness of Symglectic Orthogonal System[J].Applied Mathematics and Mechanics,1997,18(3):217-221. |
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| Authors: | Zhang Hongqing Alatancang Zhong Wanxie |
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| Institution: | Dalian Univ. of Tech., Dalian 116023, P. R. China |
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| Abstract: | In this paper,a new Banach space ZH is defined and it is proved that there is completeness of eigenfunction system (symplectic orthogonal system) of a class of Hamiltonian system in ZH space. We have also proved the following results ZH space can be continuously imbedded to L20,1] × L20, 1] but ZH≠L20, 1] × L20, 1]. |
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| Keywords: | Hamiltonian system Completeness symplectic orthogonal system |
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