No abstract

No abstract

In this paper, we study mixed-type reverse-order laws for the Moore-Penrose inverse of an operator product AB, and obtain necessary and sufficient conditions for these mixed-type reverse-order laws. Results related to other generalized inverses are also proved.Keywords Mixed-type reverse-order law · Moore-Penrose inverse · Generalized inverse · Linear bounded operators · Operator product · Hilbert space Mathematics Subject Classification (2010) 47A05 · 15A09 · 15A24