References & Citations
Mathematics > Functional Analysis
Title: On the set of supercyclic operators
(Submitted on 27 Mar 2024)
Abstract: 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 $\ell_1$.
Submission history
From: Thiago Rodrigo Alves [view email][v1] Wed, 27 Mar 2024 15:21:06 GMT (12kb)
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