【摘要】 设H和K是复无穷维可分Hilbert空间,A∈B(H),B∈B(K),C∈B(K,H)且M_C=(ACOB).本文给出了上三角算子矩阵M_C的Weyl谱、本性谱、谱、左谱、右谱、下半本性谱、下半Weyl谱和上半Weyl谱的Fredholm扰动的完全刻画.更多还原

【Abstract】 Let H and K be complex infinite dimensional separable Hilbert spaces, A∈B(H),B∈B(K),C∈B(K,H) and M_C =(ACOB).In this paper,we characterize completely the Predholm perturbation for the Weyl spectrum,essential spectrum,spectrum, left spectrum,right spectrum,lower semi-Predholm spectrum,lower semi-Weyl spectrum and upper semi-Weyl spectrum of the upper triangular operator matrices M_C.更多还原