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On the positive operator solutions to an operator equation \(X-A^\ast X^{-t}A=Q\) - MaRDI portal

On the positive operator solutions to an operator equation \(X-A^\ast X^{-t}A=Q\) (Q2052108)

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scientific article; zbMATH DE number 7433558
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On the positive operator solutions to an operator equation \(X-A^\ast X^{-t}A=Q\)
scientific article; zbMATH DE number 7433558

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    On the positive operator solutions to an operator equation \(X-A^\ast X^{-t}A=Q\) (English)
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    25 November 2021
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    In this paper, the author studies the positive operator solutions of the equation \(X-A^*X^{-t} A=Q\) (\(t > 1\)) in an infinite-dimensional setting.
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    operator equation
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    adjoint operator
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    Hilbert space
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