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Frequently hypercyclic weighted backward shifts on spaces of real analyticfunctions

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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… Click to show full 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: backward shifts; hypercyclic weighted; frequently hypercyclic; spaces real; weighted backward; frequent hypercyclicity

Journal Title: TURKISH JOURNAL OF MATHEMATICS
Year Published: 2018

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