Frequently hypercyclic weighted backward shifts on spaces of real analytic functions

Authors: BERKAY ANAHTARCI, CAN DEHA KARIKSIZ

Abstract: We study frequent hypercyclicity in the case of weighted backward shift operators acting on locally convex spaces of real analytic functions. We obtain certain conditions on frequent hypercyclicity and linear chaoticity of these operators using dynamical transference principles and the frequent hypercyclicity criterion.

Keywords: Frequent hypercyclicity, linear chaos, spaces of real analytic functions, weighted backward shifts

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