This is an announcement for the paper “Closed ideals of operators acting on some families of sequence spaces” by Ben Wallishttps://arxiv.org/search/math?searchtype=author&query=Wallis%2C+B. Abstract: We study the lattice of closed ideals in the algebra of continuous linear operators acting on $p$th Tandori and $p'$th Ces`{a}ro sequence spaces, $1\leqslant p<\infty$, which we show are isomorphic to the classical sequence spaces $(\oplus_{n=1}^\infty\ell_\infty^n)_p$ and $(\oplus_{n=1}^\infty\ell_1^n)_{p'}$, respectively. We also show that Tandori sequence spaces are complemented in certain Lorentz sequence spaces, and that the lattice of closed ideals for certain other Lorentz and Garling sequence spaces has infinite cardinality.

The paper may be downloaded from the archive by web browser from URL https://arxiv.org/abs/1806.00382