2013
DOI: 10.7494/opmath.2013.33.2.307
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Variational characterizations for eigenfunctions of analytic self-adjoint operator functions

Abstract: 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

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