Reverse order laws for reflexive generalized inverse of operators
Dragana S. Cvetković‐Ilić, Jovana Nikolov Radenković · Linear and Multilinear Algebra · 2014
In this paper, we consider the reverse order laws for - generalized inverses of operators on Hilbert spaces. We prove that for nonzero regular operators and which product is regular,if and only if is left or is right invertible operator. Also, we prove that always holds.