Acta mathematica scientia,Series A ›› 2005, Vol. 25 ›› Issue (7): 1040-1045.

• Articles • Previous Articles     Next Articles

The Residual Spectrum for a Class of Infinite Dimensional Hamiltonian Operators in |L^2*L^2

 A La-Tan-Cang, HUANG Jun-Jie, FAN Xiao-Yng   

  • Online:2005-12-30 Published:2005-12-30
  • Supported by:

    国家自然科学基金(10162003)、内蒙古自治区自然科学基金(2001301)、内蒙古自治区高等教育111工程资助项目

Abstract:

In this paper, some criteria on the existence of point spectrum and residual spectrum for the upper triangular infinite dimensional Hamiltonian operators are obtained. Based on the  above results, some concrete examples of infinite dimensional Hamiltonian operators with non-empty
residual spectrum are constructed in L^2*L^2 to further justify the criterions' effectiveness.

Key words: Infinite dimensional , Hamiltonian , operator, Residual spectrum;Point spectrum.

CLC Number: 

  • 47B
Trendmd