On polynomial approximation of the inverse of an operator (Q1887627)

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scientific article; zbMATH DE number 2117301
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On polynomial approximation of the inverse of an operator
scientific article; zbMATH DE number 2117301

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    On polynomial approximation of the inverse of an operator (English)
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    22 November 2004
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    The author gives a necessary and sufficient condition for the inverse of \(A\) to be the uniform limit of polynomials in \(A\). He discusses the same problem for the strong and weak operator topologies.
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    Hilbert space
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    inverse operator
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    invertible operator
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    invariant subspace
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    resolvent
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