Growth of frequently or log-frequently hypercyclic functions
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DOI: 10.1016/j.jfa.2021.109171
Abstract: Abstract We obtain the optimal boundary behavior of the log-frequently hypercyclic functions with respect to the Taylor shift acting on H ( D ) in terms of average L p -norms. In passing we establish… read more here.
Keywords: frequently hypercyclic; frequently log; hypercyclic functions; growth frequently ... See more keywords
Chaos and frequent hypercyclicity for composition operators
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DOI: 10.1017/s0013091521000286
Abstract: Abstract The notions of chaos and frequent hypercyclicity enjoy an intimate relationship in linear dynamics. Indeed, after a series of partial results, it was shown by Bayart and Ruzsa in 2015 that for backward weighted… read more here.
Keywords: composition operators; frequently hypercyclic; frequent hypercyclicity; chaos frequent ... See more keywords
Frequently hypercyclic weighted backward shifts on spaces of real analyticfunctions
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DOI: 10.3906/mat-1806-81
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… read more here.
Keywords: backward shifts; hypercyclic weighted; frequently hypercyclic; spaces real ... See more keywords