Eigenvalues of a system of equations in a Hilbert space (Q1121421)

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scientific article; zbMATH DE number 4103485
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Eigenvalues of a system of equations in a Hilbert space
scientific article; zbMATH DE number 4103485

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    Eigenvalues of a system of equations in a Hilbert space (English)
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    1988
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    The author derives expressions for the eigenvalues of a certain infinite system of linear equations in Hilbert space which may depend nonlinearly on the eigenvalue parameter. Sufficient conditions are established for the corresponding eigenfunctions to form a Riesz basis. Results are applied to a system of linear algebraic equations equivalent to a certain two point boundary value problem.
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    Riesz basis
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