(1) Institut für Mathematik, Universität Wien, Strudlhofgasse 4, A-1090 Wien, Austria;(2) Erwin Schrödinger Institute of Mathematical Physics, Boltzmanngasse 9, A-1090 Wien, Austria
Abstract:
If A(t) is a C1,-curve of unbounded self-adjoint operators with compact resolvents and common domain of definition, then the eigenvalues can be parameterized C1 in t. If A is C then the eigenvalues can be parameterized twice differentiably.Mathematics Subject Classification (2000): 26C10PWM was supported by FWF, Projekt P 14195 MAT.
-curve of unbounded self-adjoint operators with compact resolvents and common domain of definition, then the eigenvalues can be parameterized C1 in t. If A is C
then the eigenvalues can be parameterized twice differentiably.Mathematics Subject Classification (2000): 26C10PWM was supported by FWF, Projekt P 14195 MAT.