Common Hermitian solutions to some operator equations on Hilbert \(C^{*}\)-modules (Q968989)
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scientific article; zbMATH DE number 5706974
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Common Hermitian solutions to some operator equations on Hilbert \(C^{*}\)-modules |
scientific article; zbMATH DE number 5706974 |
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Common Hermitian solutions to some operator equations on Hilbert \(C^{*}\)-modules (English)
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11 May 2010
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The authors present some solvability conditions for the equations \(A_1X = C_1\), \(XB_1 = C_2\), \(A_3XA_3^* = C_3\), \(A_4XA_4^* = C_4\) to possess common Hermitian solution and give an expression for this common Hermitian solution when the solvability conditions are satisfied.
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Hilbert \(C^*\)-module
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operator equation
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Moore--Penrose inverse
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Hermitian solution
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