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

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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

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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