Invariance properties of an operator product involving generalized inverses
Zhiping Xiong, Yingying Qin · Electronic Journal of Linear Algebra · 2011
Given bounded linear operators T 1 , T 2 and T 3 , this paper investigates certain invariance properties of the operator product T 1 XT 3 with respect to the choice of bounded linear operator X, where X is a generalized inverse of T 2 .Different types of generalized inverses are taken into account.