一类缺项算子矩阵的谱补问题

On the Spectral Completion of Operator Partial Matrices

对于Hilbert空间上的2×2算子矩阵，其中A∈B（H），C∈B（K，H），D∈B（H，K）给定，当X取遍B（K）中算子时，我们给出所有Nx的谱之交集和并集的刻画．

For a 2 by 2 operator partial matrix of the form with A, C and D given operators acting on suitable separable complex Hilbert spaces, the intersection and the union of the spectra of all completions are completely characterized.are completely characterized.