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On the approximation of the linear equations with bounded kernels - MaRDI portal

On the approximation of the linear equations with bounded kernels (Q1110784)

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scientific article; zbMATH DE number 4073776
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On the approximation of the linear equations with bounded kernels
scientific article; zbMATH DE number 4073776

    Statements

    On the approximation of the linear equations with bounded kernels (English)
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    1988
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    Let H be a complex separable Hilbert space with a Schauder basis and A:H\(\to H\) a bounded linear operator with inverse \(A^{-1}\). The author shows that the equation \(Ax=y\) can be solved by using a projection-like method (e.g., approximation by finite dimensional matrices).
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    Galerkin method
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    linear equations
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    Schauder basis
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    bounded linear operator with inverse
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    projection-like method
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    approximation by finite dimensional matrices
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