Expressions and perturbations for the Moore-Penrose inverse of bounded linear operators in Hilbert spaces
Fapeng Du · Filomat · 2016
Let A,X,Y be bounded linear operators. In this paper, we present the explicit expression for the Moore-Penrose inverse of A-XY. In virtue of the expression of (A+X)?, we get the upper bounds of ||(A + X)?|| and ||(A + X)?-A?||.