Reverse order laws for {1, 3}-generalized inverses
Dragana S. Cvetković‐Ilić, Jovana Milošević · Linear and Multilinear Algebra · 2018
In this paper, we have solved an open problem related to the reverse order laws for {1,3} and {1,4}-generalized inverses in C*-algebras. It is interesting to note that this problem has only been solved for matrices while it still remains open for bounded linear operators. In this paper, we give corresponding results for the case of linear-bounded operators on separable Hilbert spaces.