@Article{Katsouleas2013,
author = "Katsouleas, Georgios and Maroulas, John",
title = "Variational characterizations for eigenfunctions of analytic self-adjoint operator functions",
journal = "Opuscula Math.",
year = "2013",
volume = "33",
number = "2",
pages = "307--321",
doi = "http://dx.doi.org/10.7494/OpMath.2013.33.2.307",
url = "http://dx.doi.org/10.7494/OpMath.2013.33.2.307",
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.",
keywords = "operator functions, eigenfunctions, eigenvalues, variational principles",
issn = "1232-9274"
}