Mixed-type reverse-order laws for {1, 3, 4}-generalized inverses over Hilbert spaces

摘要

The reverse order laws for {1, 3, 4}-generalized inverses of a product of two operators have been studied by Wang et al. [J. Wang, H. Zhang, G. Ji, A generalized reverse order law for the products of two operators, Journal of Shaanxi Normal University, 38 (4) (2010), 13–17].In this paper using a block-operator matrix technique we study mixed-type reverse-order laws for {1, 3, 4}-generalized inverses over Hilbert spaces.