Perturbation theory and higher order ${\mathcal{S}}^p$-differentiability of operator functions

Clément Coine

We establish, for $1<p<\infty$, higher order ${\mathcal{S}}^p$-differentiability results of the function $\phi :t\in \mathbb{R}\mapsto f(A+tK)-f(A)$ for selfadjoint operators $A$…