2021/02/24 by Mohamed Amouch, Amouch, Mohamed, Otmane Benchiheb +1
Mathematics · #37B20 (Secondary) #47A16 (Primary) #Advanced Banach Space Theory #Advanced Topics in Algebra #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory
paper · pdf · doi:10.48550/arxiv.2102.12170
openalex publication_date 2021/02/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, we introduce and study the notion of super-recurrence of operators. We investigate some properties of this class of operators and show that it shares some characteristics with supercyclic and recurrent operators. In particular, we show that if T is super-recurrent, then σ(T) and σp(T^*), the spectrum of T and the point spectrum of T^* respectively, have some noteworthy properties.