Hamilton体系与辛正交系的完备性*
The Hamiltonian System and Completeness of Symglectic Orthogonal System
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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L2[0,1]×L2[0,1]但ZH≠L2[0,1]×L2[0,1].
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关键词:
- Hamilton体系 /
- 完备性 /
- 辛正交系
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 L2[0,1] × L2[0, 1] but ZH≠L2[0, 1] × L2[0, 1].-
Key words:
- Hamiltonian system /
- completeness /
- symplectic orthogonal system
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