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.
Song, G. J. (2013). G-positive and G-repositive solutions to some adjointable operator equations over Hilbert C^{∗}-modules. Bulletin of the Iranian Mathematical Society, 39(5), 971-992.
MLA
Song, G. J. "G-positive and G-repositive solutions to some adjointable operator equations over Hilbert C^{∗}-modules", Bulletin of the Iranian Mathematical Society, 39, 5, 2013, 971-992.
HARVARD
Song G. J. (2013). 'G-positive and G-repositive solutions to some adjointable operator equations over Hilbert C^{∗}-modules', Bulletin of the Iranian Mathematical Society, 39(5), pp. 971-992.
CHICAGO
G. J. Song, "G-positive and G-repositive solutions to some adjointable operator equations over Hilbert C^{∗}-modules," Bulletin of the Iranian Mathematical Society, 39 5 (2013): 971-992,
VANCOUVER
Song G. J. G-positive and G-repositive solutions to some adjointable operator equations over Hilbert C^{∗}-modules. BIMS. 2013;39(5):971-992.
