1) Given $p\in (1,\infty)$.

2) Let us **fix** two, **non-isometric** subspaces $X,Y\subseteq \ell_p$ isomorphic to $\ell_p$.

3) **Are there** an $\varepsilon\in (0,1)$ and **an isomorphism** $S\colon X\to Y$ such that

$$(1-\varepsilon)\|x\|\leqslant \|Sx\|\leqslant (1+\varepsilon)\|x\|$$

holds for each $x\in X$?