%0 Journal Article
%T G-positive and G-repositive solutions to some adjointable operator equations over Hilbert C^{∗}-modules
%J Bulletin of the Iranian Mathematical Society
%I Iranian Mathematical Society (IMS)
%Z 1017-060X
%A Song, G. J.
%D 2013
%\ 10/15/2013
%V 39
%N 5
%P 971-992
%! G-positive and G-repositive solutions to some adjointable operator equations over Hilbert C^{∗}-modules
%K Hilbert C^{∗}-module
%K generalized inverse
%K Operator equation
%R
%X Some necessary and sufficient conditions are given for the existence of a G-positive (G-repositive) solution to adjointable operator equations $AX=C,AXA^{left( astright) }=C$ and $AXB=C$ over Hilbert $C^{ast}$-modules, respectively. Moreover, the expressions of these general G-positive (G-repositive) solutions are also derived. Some of the findings of this paper extend some known results in the literature.
%U http://bims.iranjournals.ir/article_455_cdee254edff96f8755573457f8b11ff8.pdf