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Feb 3, 2021 at 15:26 comment added Christian Remling Obviously, this isn't working if $A=1$, so you'll probably need a more quantitative assumption than non-degenerate eigenvalues (a bound on $\min |\lambda_j-\lambda_k|$).
Feb 3, 2021 at 14:35 history edited fsp-b
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Feb 3, 2021 at 14:20 comment added Nathaniel Johnston This Math.SE post seems relevant: math.stackexchange.com/questions/1133071/… In particular, the standard reference for this sort of thing is "Kato, T., Perturbation theory for linear operators. Springer-Verlag, 1976"
Feb 3, 2021 at 14:15 history asked fsp-b CC BY-SA 4.0