Report
On the set of supercyclic operators
| العنوان: | On the set of supercyclic operators |
|---|---|
| المؤلفون: | Alves, Thiago R., Souza, Gustavo C. |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Functional Analysis |
| الوصف: | 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 $\ell_1$. Comment: 11 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2403.18678 |
| رقم الانضمام: | edsarx.2403.18678 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |