Reverse order law for the Moore-Penrose inverse in C*-algebras
Dijana Mosić, Dragan S. Djordjević · Electronic Journal of Linear Algebra · 2011
Abstract. In this paper, several equivalent conditions related to the reverse order law for the Moore-Penrose inverse in C ∗-algebras are studied. Some well-known results are extended to more general settings. Then this result is applied to obtain the reverse order rule for the weighted Moore-Penrose inverse in C ∗-algebras. Key words. Moore-Penrose inverse, Reverse order law, C ∗-algebras. AMS subject classifications. 16W10, 15A09, 46L05.