The phase diagram of injective-to-projective tensor distortion

Daniel Nunez-Alarcon, Daniel Pellegrino, Joedson Santos

For finite-dimensional Banach spaces $E$ and $F$, set \[ ρ(E,F):=\sup_{0\neq z\in E\otimes F}\frac{π(z)}{\varepsilon(z)}. \] The square growth of $\rho ({\ell }_p^d,{\ell }_q^d)$ was determi…