Abstract.
If A(t) is a C 1,α-curve of unbounded self-adjoint operators with compact resolvents and common domain of definition, then the eigenvalues can be parameterized C 1 in t. If A is C ∞ then the eigenvalues can be parameterized twice differentiably.
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Mathematics Subject Classification (2000): 26C10
PWM was supported by FWF, Projekt P 14195 MAT.
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Kriegl, A., Michor, P. Differentiable perturbation of unbounded operators. Math. Ann. 327, 191–201 (2003). https://doi.org/10.1007/s00208-003-0446-5
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DOI: https://doi.org/10.1007/s00208-003-0446-5