分块对角算子矩阵在上三角扰动下的精细拟谱和固有拟谱OACSTPCD

In this paper,we study the problem of meticulous pseudo-spectra and intrinsic pseudo-spectra for the diagonal block operator matrices under the bounded perturbation of upper-triangular operator matrices.By means of space decomposition technique and perturba-tion principle of operators,we extend the spectral result to pseudo-spectrum and obtain the e-injectivity and its pseudo-residual spectrum and pseudo-continuous spectrum for the diagonal block operator matrices with the bounded perturbation of upper-triangular operator matrices.Finally,the intrinsic pseudo-point spectrum,intrinsic pseudo-residual spectrum and intrinsic pseudo-continuous spectrum for the diagonal block operator matrices in the case of the bounded perturbation of upper-triangular operator matrices are described.