【摘要】 <正>1引言设X为Banach空间,B(X)表示Banach空间X上有界线性算子的全体.设A∈B(X),则满足方程ABA=A的有界线性算子B∈B(X)称为A的{1}-逆,记作A~-;满足方程ABA=A,BAB=B的有界线性算子B∈B(X)称为A的自反广义逆或A的{1,2}-逆,通常记作A~+.若B∈B(X)满足下列方程更多还原

【Abstract】 Let X be Banach space and P,Q are idempotent operators on X.In this paper,we present the expressions for the group inverse of the operator P,Q under the condition that I-P-Q is invertible.更多还原