Some additive results on M-P inverse of operator product

Abstract

The M-P inverse has many important applications in the aspects of theoretic research of operator and statistics. One of the core problems in M-P inverse is to find the M-P inverse of operator product. In this paper, by using the technique of matrix form of bounded linear operators, we study the existence and give an expression of the M-P inverse of an operator product. In particular, by applying this expression, we introduce a formula for the M-P inverse of a sum of two operators.