缺项算子矩阵的补问题

On the Completion Problems of Operator Partial Matrix

设H和K为复Hiblert空间,给定三元算子对(A,B,C),其中A∈B(H),B∈B(K),C∈B(K,H).对定义在HK上的算子矩阵MX=[AXCB],当X取遍B(H,K)中算子时,给出了所有的预解集ρ(MX)之交集的刻画.

Let H and K be complex Hilbert spaces, and the triple （A,B,C） of operators is given, where A ∈ B（H）,B∈（K）,C∈B（K,H） For operator matrix （AC B ） defited on H＋K,,the intersection of the re-solvent set of Mx is charecterized when X is taken all operator in B （H,K）.