On the geometry of projective tensor products

Ohad Giladi, Joscha Prochno, Carsten Schütt +2

In this work, we study the volume ratio of the projective tensor products ${\ell }_p^n{\otimes }_{\pi }{\ell }_q^n{\otimes }_{\pi }{\ell }_r^n$ with $1\le p\le q\le r\le \infty$. We obtain asymptotic…