2018/10/17 by Mohamed Amouch, Amouch, Mohamed, Otmane Benchiheb +1
Computer Science · Mathematics · #47A16 #F.2.2 #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Matrix Theory and Algorithms #Spectral Theory in Mathematical Physics
paper · pdf · doi:10.48550/arxiv.1810.07577
openalex publication_date 2018/10/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let X be a complex topological vector space with dim(X)>1 and B(X) the space of all continuous linear operators on X. In this paper, we extend the concept of supercyclicity of a single operators and strongly continuous semigroups of operators to a subset of B(X). We establish some results for supercyclic set of operators and we give some applications for strongly continuous semigroups of operators and C-regularized group of operators.