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