%0 Journal Article
%T Sequence-singular operators
%A Gleb Sirotkin
%A Ben Wallis
%J Mathematics
%D 2015
%I arXiv
%X In this paper we study two types of collections of operators on a Banach space on the subject of forming operator ideals. One of the types allows us to construct an uncountable chain of closed ideals in each of the operator algebras $\mathcal{L}(\ell_1\oplus\ell_q)$, $1<q<\infty$, and $\mathcal{L}(\ell_1\oplus c_0)$. This finishes answering a longstanding question of Pietsch.
%U http://arxiv.org/abs/1509.01485v1