On the solutions of operator equation \(CAX=C=XAC\) (Q695120)
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scientific article; zbMATH DE number 6117551
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the solutions of operator equation \(CAX=C=XAC\) |
scientific article; zbMATH DE number 6117551 |
Statements
On the solutions of operator equation \(CAX=C=XAC\) (English)
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20 December 2012
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Let \(A\) and \(C\) be two bounded linear operators on a Hilbert space. In this paper, the author discusses the solutions to the operator equation \[ CAX = C = XAC. \] These solutions are related to the Moore-Penrose inverses, Drazin inverses and group inverses. The paper also contains results concerning unique and explicit solutions to the above equation.
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operator equations
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Moore-Penrose inverse
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Drazin inverse
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