Hypercyclic operators for iterated function systems

Authors : Mohammad SALMAN, Ruchi DAS

Pages : 483-491

Doi:10.15672/hujms.716686

View : 15 | Download : 7

Publication Date : 2021-04-11

Article Type : Research Paper

Abstract :In this paper we introduce and study the notion of hypercyclicity for iterated function systems insert ignore into journalissuearticles values(IFS); of operators. We prove that for a linear IFS, hypercyclicity implies sensitivity and if an IFS is abelian, then hypercyclicity also implies multi-sensitivity and hence thick sensitivity. We also give some equivalent conditions for hypercyclicity as well as weakly mixing for an IFS of operators.
Keywords : Iterated function systems, hypercyclic operators, sensitive operators, weakly mixing operators