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Regular approximations of isolated eigenvalues of singular second-order symmetric linear difference equations

Regular approximations of isolated eigenvalues of singular second-order symmetric linear difference equations

This paper is concerned with regular approximations of isolated eigenvalues of singular second-order symmetric linear difference equations. It is shown that the kth eigenvalue of any given self-adjoint subspace extension is exactly the limit of the kth eigenvalues of the induced regular self-adjoint subspace extensions in the case that each …