设MG=[ O B^A C]是从Hilbert空间H+K到H+K中的2×2上三角算子矩阵.该文主要研究MC的Drazin可逆性和Mc的Drazin谱.此外,对给定算子A∈B(H)和B∈B(K),将给出在一定条件下所有上三角算子矩阵Mc的Drazin谱的交∩C∈B(K,H)σD(Mc)的具体表达式。
Let Me =[O B ^A C] be a 2 x 2 upper-triangular operator matrix acting on the Hilbert space H + K. In this paper, the authors investigate the Drazin invertibility of Mc and the Drazin spectrum of Mc. Moreover, for given operaters A ∈ B(H) and B ∈ B(K), they shall give a representation of ∩C∈B(K,H)σD(Mc) under certain condition.