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Bibliographic Details
Main Authors:	Alves, Thiago R., Souza, Gustavo C.
Format:	Preprint
Published:	2024
Subjects:	Functional Analysis
Online Access:	https://arxiv.org/abs/2403.18678
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Table of Contents:

In this article, we address a problem posed by F. Bayart regarding the existence of an infinite-dimensional closed vector subspace (excluding the null operator) within the set of supercyclic operators on Banach spaces. We resolve this problem by establishing the existence of the closed subspace. Furthermore, we prove that the set of supercyclic operators on $\ell_1$ contains, up to the null operator, an isometric copy of $\ell_1$.