可补为自共轭2×2分块算子矩阵

Completing a Self Adjoint 2×2 Block Matrix of Operators

给出了缺项算子矩阵Ｌ＝ＡＢＣ？可补为可逆自共轭算子，且Ｌ－１＝＊＊＊Ｄ的条件，而且给出了问题的全部解．

In this paper,it was given that the conditions for a 2×2 block matrix of operators L=AB C?can be completed into a invertible self adjoint operator with L -1 =** *D.In the proof, the all solutions of problem are obtained.