New Results of Reverse Order Law for Moore-Penrose Reverse
Zhang Hai-ya · Shuxue de shijian yu renshi · 2014
In this paper,the reverse order law for Moore-Penrose reverse of a two-operator product is mainly investigated by making full use of block-operator matrix technique.When all ranges R(A),R(B) and R(AB) are closed,it is given that the reverse order law for MoorePenrose reverse holds if and only if R(A~* AB) = R(B) ∩ R(A~*) = R(BB~*A~*).