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Variational characterizations for eigenfunctions of analytic self-adjoint operator functions

Katsouleas G., Maroulas J.

Opuscula Mathematica

2013

Vol. 33, no. 2

307--321

In this paper we consider Rellich's diagonalization theorem for analytic self-adjoint operator functions and investigate variational principles for their eigenfunctions and interlacing statements. As an application, we present a characterization for the eigenvalues of hyperbolic operator polynomials.