Sequence-singular operators

Gleb Sirotkin; Ben Wallis

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arXiv · 1509.01485

Sequence-singular operators

Gleb Sirotkin·Ben Wallis

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Abstract

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.

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BibTeX RIS

Gleb Sirotkin, Ben Wallis. 2015-09-04. Sequence-singular operators. https://arxiv.org/abs/1509.01485

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