New results on reverse order law for {1,2,3}- and {1,2,4}-inverses of bounded operators
Xiaoji Liu, Shuxia Wu, Dragana S. Cvetković‐Ilić · Mathematics of Computation · 2013
In this paper, using some block-operator matrix techniques, we give necessary and sufficient conditions for the reverse order law to hold for { 1 , 2 , 3 } \{1,2,3\} - and { 1 , 2 , 4 } \{1,2,4\} -inverses of bounded operators on Hilbert spaces. Furthermore, we present some new equivalents of the reverse order law for the Moore-Penrose inverse.