上三角算子矩阵左右谱的自伴扰动

Self-adjoint Perturbations of Left and Right Spectra of Upper Triangular Operator Matrices

利用空间分解方法研究了一类上三角算子矩阵左右谱的自伴扰动,给出了扰动范围,并将结果应用到Hamilton算子上。

The self-adjoint perturbations of the left and right spectra of a class of upper triangular operator matrices are studied by means of space decomposition method.The estimations of the perturbations are given,and the related results are applied to Hamiltonian operators.