Stabilizing isomorphisms from ${\ell }_p({\ell }_2)$ into $L_p[0,1]$

Ran Levy, Gideon Schechtman

Let $1<p\ne 2<\infty$, $\epsilon >0$ and let $T:{\ell }_p({\ell }_2)\stackrel{into}{\to }{L}_p[0,1]$ be an isomorphism. Then there is a subspace $Y\subset {\ell }_p({\ell }_2)$ $(1+\epsilon )$-isomorphic…