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- W107726199 abstract "A necessary and sufficient condition for the existence of the general common positive solution to equations A1X = C1, XB2 = C2, A3XA � = C3, A4XA � = C4 for operators between Hilbert C � -modules is established, and an expression for the common positive solution to the equations is derived when the solvability conditions are satisfied. As an application, a new necessary and sufficient condition for the system of adjointable operator equations over Hilbert C � -modules to have a common Re-positive solution is proved. Moreover, an expression of the general Re-positive solution is derived when the consistent conditions are met. The results of this paper extend some known results in the literature." @default.
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- W107726199 date "2011-01-01" @default.
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- W107726199 title "Positive and re-positive solutions to some systems of adjointable operator equations over Hilbert C*-modules" @default.
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- W107726199 doi "https://doi.org/10.13001/1081-3810.1492" @default.
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