Operator equations AX+YB=C and AXA⁎+BYB⁎=C in Hilbert C⁎-modules
نویسندگان
چکیده
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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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 2017
ISSN: 0024-3795
DOI: 10.1016/j.laa.2016.12.001