May 7, 2024Open Access

On the set of supercyclic operators

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Abstract

Abstract In this article, we address a problem posed by 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 fully resolve this problem by establishing the existence of the closed subspace. Furthermore, we prove that the set of supercyclic operators on contains, up to the null operator, an isometric copy of .

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Alves et al. (Tue,) studied this question.

synapsesocial.com/papers/68e6b4c2b6db64358763576c — DOI: https://doi.org/10.1112/blms.13067

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Authors

Thiago R. Alves

Gustavo C. Souza

Journals

Bulletin of the London Mathematical Society

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Institutions

Universidade Federal do Amazonas

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On the set of supercyclic operators

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Abstract

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