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Leonetti proved that whenever $\mathcal I$ is an ideal on $\mathbb N$ suchthat there exists an~uncountable family of sets that are not in $\mathcal I$with the property that the intersection of any two distinct members of thatfamily is in $\mathcal I$, then the space $c_{0,\mathcal I}$ of sequences in$\ell_\infty$ that converge to 0 along $\mathcal I$ is not complemented. Weprovide a shorter proof of a more general fact that the quotient space$\ell_\infty / c_{0,\mathcal I}$ does not even embed into $\ell_\infty$.

A letter concerning Leonetti's paper `Continuous Projections onto Ideal Convergent Sequences'