Andreas Kriegl, Peter W. Michor
Published 2002-04-04, updated 2003-04-07Version 4
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.
Comments: amstex 9 pages. Some misprints corrected
Journal: Math. Ann. 327 (2003), 191 - 201
Trace, determinant and eigenvalues of nuclear operators
On the adjoint of the unbounded operators $p(T)$, $TT^*$, and $T^*T$, and certain applications to $nth$ roots of unbounded operators
Many parameter Hoelder perturbation of unbounded operators
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