@article {
author = {Song, G.},
title = {G-positive and G-repositive solutions to some adjointable operator equations over Hilbert C^{∗}-modules},
journal = {Bulletin of the Iranian Mathematical Society},
volume = {39},
number = {5},
pages = {971-992},
year = {2013},
publisher = {Iranian Mathematical Society (IMS)},
issn = {1017-060X},
eissn = {1735-8515},
doi = {},
abstract = {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.},
keywords = {Hilbert C^{∗}-module,generalized inverse,Operator equation},
url = {http://bims.iranjournals.ir/article_455.html},
eprint = {http://bims.iranjournals.ir/article_455_cdee254edff96f8755573457f8b11ff8.pdf}
}