The Hamiltonian System and Completeness of Symglectic Orthogonal System

Zhang Hongqing; Alatancang; Zhong Wanxie

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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.

Citation:

Zhang Hongqing, Alatancang, Zhong Wanxie. The Hamiltonian System and Completeness of Symglectic Orthogonal System[J]. Applied Mathematics and Mechanics, 1997, 18(3): 217-221.

Citation:

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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The Hamiltonian System and Completeness of Symglectic Orthogonal System

Dalian Univ. of Tech., Dalian 116023, P. R. China

Received Date: 1995-09-06
Rev Recd Date: 1996-09-20
Publish Date: 1997-03-15

Abstract

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].
- Hamiltonian system,
- completeness,
- symplectic orthogonal system

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References(7)

References

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