Opuscula Mathematica
Opuscula Math. 33, no. 2 (2013), 307-321

Variational characterizations for eigenfunctions of analytic self-adjoint operator functions

Georgios Katsouleas
John Maroulas
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.
Mathematics Subject Classification: 15A22, 15A18, 47A56, 47A75, 49R50.
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About the authors ▼
Georgios Katsouleas
National Technical University of Athens, Dept. of Mathematics, Zografou Campus, Athens 15780, Greece
John Maroulas
National Technical University of Athens, Dept. of Mathematics, Zografou Campus, Athens 15780, Greece
About the article ▼
Received: 2012-03-20.
Revised: 2012-08-01.
Accepted: 2012-10-25.
Cite this article as ▼
Georgios Katsouleas, John Maroulas, Variational characterizations for eigenfunctions of analytic self-adjoint operator functions, Opuscula Math. 33, no. 2 (2013), 307-321, http://dx.doi.org/10.7494/OpMath.2013.33.2.307.
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