Differentiable perturbation of unbounded operators
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If $A(t)$ is a $C^{1,\al}$-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 $C^\infty$ then the eigenvalues can be parameterized twice differentiable.
amstex 9 pages. Some misprints corrected
amstex 9 pages. Some misprints corrected