TY  - JOUR
ID  - Katsouleas2013
LB  - Katsouleas2013
AU  - Katsouleas, Georgios
AU  - Maroulas, John
TI  - Variational characterizations for eigenfunctions of analytic self-adjoint operator functions
ST  - Variational characterizations for eigenfunctions of analytic self-adjoint operator functions
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2013
VL  - 33
IS  - 2
SP  - 307
EP  - 321
DO  - http://dx.doi.org/10.7494/OpMath.2013.33.2.307
UR  - http://dx.doi.org/10.7494/OpMath.2013.33.2.307
AB  - 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.
KW  - operator functions
KW  - eigenfunctions
KW  - eigenvalues
KW  - variational principles
SN  - 1232-9274
ER  -