Abstract

We prove that, whenever we pick real numbers $a,b$ such that $0<b<a<1$, $a+b>1$, and $a^3+b^3=1$, then every bounded linear operator from ${\ell }_2$ to $X_{a,b}$ and from $X_{a,b}$ to ${\ell }_2$ must be compact, where $X_{a,b}$ is the Bourgain–Delbaen space.

Keywords

Mathematical Subject Classification 2010

Milestones

Authors