G-positive and G-repositive solutions to some adjointable operator equations over Hilbert C^{∗}-modules
نویسنده
چکیده مقاله:
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.
منابع مشابه
g-positive and g-repositive solutions to some adjointable operator equations over hilbert c^{∗}-modules
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...
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عنوان ژورنال
دوره 39 شماره 5
صفحات 971- 992
تاریخ انتشار 2013-10-15
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