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Applied Mathematics and Mechanics (English Edition) ›› 1997, Vol. 18 ›› Issue (3): 237-242.

• 论文 • 上一篇    下一篇

THE HAMILTONIAN SYSTEM AND COMPLETENESS OF SYMPLECTIC ORTHOGONAL SYSTEM

张鸿庆, 阿拉坦仓, 钟万勰   

  1. Dalian Univ. of Tech. Dalian 116023, P. R. China
  • 收稿日期:1995-09-06 修回日期:1996-09-20 出版日期:1997-03-18 发布日期:1997-03-18
  • 基金资助:
    Project supported by the National Natural Science Foundation of China

THE HAMILTONIAN SYSTEM AND COMPLETENESS OF SYMPLECTIC ORTHOGONAL SYSTEM

Zhang Hongqing, Alatancang, Zhong Wanxie   

  1. Dalian Univ. of Tech. Dalian 116023, P. R. China
  • Received:1995-09-06 Revised:1996-09-20 Online:1997-03-18 Published:1997-03-18
  • Supported by:
    Project supported by the National Natural Science Foundation of China

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摘要： 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].

关键词: Hamiltonian system, completeness, symplectic orthogonal system

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: symplectic orthogonal system, Hamiltonian system, completeness

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