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Summary:
Given any operator ideal $\mathcal{I}$, there are two natural functionals $\gamma_{\mathcal{I}}(T)$, $\beta_{\mathcal{I}}(T)$ that one can use to show the deviation of the operator $T$ to the closed surjective hull of $\mathcal{I}$ and to the closed injective hull of $\mathcal{I}$, respectively. We describe the behaviour under interpolation of $\gamma_{\mathcal{I}}$ and $\beta_{\mathcal{I}}$. The results are part of joint works with A. Martínez, A. Manzano and P. Fernández-Martínez.
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