Closed ideals in $\mathcal{L}(X)$ and $\mathcal{L}(X^{\ast })$ when $X$ contains certain copies of ${\ell }_p$ and $c_0$

Ben Wallis

Suppose $X$ is a real or complexified Banach space containing a complemented copy of ${\ell }_p$, $p\in (1,2)$, and a copy (not necessarily complemented) of either ${\ell }_q$, $q\in(p,\i…