The existence and expressions of the inverse along operators B and C
Chunyan Deng, Ruf ng Liu · Operators and Matrices · 2018
In this paper, we find some explicit properties of the one sided-inverses and (B,C) -inverses for linear bounded operators. Moreover, the solution X of the operator equations XAB = B and CAX = C is expressed in terms of the inner inverses of the operators A , B and C . We also present the equivalent conditions for the existence and expressions of the inverses along operators B and C .