算子矩阵平方（ω）性质的紧摄动

摘要

According to the characteristics of spectrum of the upper triangular operator matrices on the diagonal and the properties of the diagonal operator matrices corresponding to the upper triangular operator matrices,we investigated the stability of property (ω)for the square of the upper triangular operator matrices under compact perturbation,and gave the sufficient and necessary conditions for the square of the upper triangular operator matrices satisfying the compact perturbation of property (ω).%根据上三角算子矩阵对角上两个算子谱集的特点和该上三角算子矩阵对应对角矩阵的性质，研究上三角算子矩阵平方的(ω)性质在紧摄动下的稳定性，并给出了上三角算子矩阵的平方满足(ω)性质紧摄动的充要条件。