Essentially-Euclidean convex bodies
Alexander E. Litvak, Vitali Davidovich Milman, Nicole Tomczak-Jaegermann · Studia Mathematica · 2010
In this note we introduce a notion of essentially-Euclidean normed spaces (and convex bodies). Roughly speaking, an $n$-dimensional space is $\lambda$-essentially-Euclidean (with $0 < \lambda <1$) if it has a $[\lambda n]$-dimensional subspace which