  Theorem A and Theorem B of [1] state that for $1<p<\infty$ the lattice of
closed ideals of $\mathcal{L}(\ell_p,c_0)$, $\mathcal{L}(\ell_p,\ell_\infty)$
and of $\mathcal{L}(\ell_1,\ell_p)$ are at least of cardinality $2^{\omega}$.
Here we show that the cardinality of the lattice of closed ideals of
$\mathcal{L}(\ell_p,c_0)$, $\mathcal{L}(\ell_p,\ell_\infty)$ and of
$\mathcal{L}(\ell_1,\ell_p)$, is at least $2^{2^\omega}$, and thus equal to it.
