Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4601553 | Linear Algebra and its Applications | 2010 | 9 Pages |
Abstract
We present necessary and sufficient conditions for the existence of a positive solution to the system of adjointable operator equations A1X=C1,XB2=C2,A3XB3=C3 over Hilbert C∗-modules. We also derive a representation for a general positive solution to this system when the solvability conditions are satisfied. The results of this paper extend some known results in the literature.
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