Weyl type theorems for hypercyclic, supercyclic, and Toeplitz operators

2024/10/11 by Simi Thomas, Thomas, Simi, T‎. Prasad +3
Mathematics · #47 #Advanced Algebra and Geometry #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.2410.08838

openalex publication_date 2024/10/11 · openalex created_date 2024/10/16 · openalex updated_date 2026/07/28

Abstract

In this paper, we study property (UW_E) for hypercyclic and supercyclic operators. The stability of variants of Weyl type theorems under compact perturbations for Toeplitz operators on the Bergman space is also studied. We also provide some examples of Toeplitz operators satisfying Weyl type theorems on the Bergman space and the harmonic Bergman space.

Related

• Cesàro-Hypercyclic and Weyl type theorem
• Hypercyclicity of Toeplitz operators with smooth symbols
• New classes of hypercyclic Toeplitz operators
• Hypercyclic Toeplitz operators
• A class of Toeplitz operators with hypercyclic subspaces