Cesàro-Hypercyclic and Weyl type theorem

2018/11/06 by Abdelaziz Tajmouati, Tajmouati, Abdelaziz, Mohammed El Berrag +1
Mathematics · #Advanced Algebra and Geometry #Analytic and geometric function theory #FOS: Mathematics #Holomorphic and Operator Theory #Spectral Theory (math.SP)

paper · pdf · doi:10.48550/arxiv.1811.02262

openalex publication_date 2018/11/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we study the relations between Cesàro-hypercyclic operators and the operators for which Weyl type theorem holds.

Related

• Weyl type theorems for hypercyclic, supercyclic, and Toeplitz operators
• The Cesaro operator
• ε-hypercyclic operators that are not δ-hypercyclic for δ < ε
• Rhaly operators: more on generalized Cesàro operators
• \mathcal F-Hypercyclic operators on Fr' echet spaces