On Linear Dynamics of Sets of Operators

2018/10/29 by Amouch, Mohamed, Benchiheb, Otmane
#47A16 #Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.1810.12438

Abstract

Let X be a complex topological vector space with dim(X)>1 and B(X) the set of all continuous linear operators on X. The concept of hypercyclicity for a subset of B(X), was introduced in \citeAKH. In this work, we introduce the notion of hypercyclic criterion for a subset of B(X). We extend some results known for a single operator and C₀-semigroup to a subset of B(X) and we give applications for C-regularized groups of operators.

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