, Volume 327, Issue 1, pp 191-201
Date: 16 May 2003

Differentiable perturbation of unbounded operators

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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.