一类算子矩阵的核逆表示

Representations for the Core Inverse of a Class of Operator Matrices

设H是Hilbert空间,A∈B(H),B∈B(H),利用算子矩阵表示的方法得到H⊕H上算子矩阵■的核逆存在的充要条件,并给出核逆的表达式。

Let H be a Hilbert space,A∈B(H),B∈B(H).By using the methods of representations of operator matrices,the necessary and sufficient conditions are obtained for existence of the core inverse of operator matrices■on H⊕H and the representation is given.