The Residual Spectrum for a Class of Infinite Dimensional Hamiltonian Operators in |L^2*L^2
L^2*L^2中的一类无穷维Hamilton算子的剩余谱

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.