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Turkish Journal of Mathematics

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.

DOI

10.3906/mat-1806-81

Keywords

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

First Page

3242

Last Page

3249

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