Common frequent hypercyclicity
Sign Up to like & getrecommendations! Published in 2022 at "Journal of Functional Analysis"
DOI: 10.1016/j.jfa.2022.109526
Abstract: We provide with criteria for a family of sequences of operators to share a frequently universal vector. These criteria are variants of the classical Frequent Hypercyclicity Criterion and of a recent criterion due to Grivaux,… read more here.
Keywords: frequently universal; common frequent; frequent hypercyclicity; hypercyclicity ... See more keywords
Hypercyclicity of shifts on weighted Lp spaces of directed trees
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2016.08.066
Abstract: Abstract In this paper, we study the hypercyclicity of forward and backward shifts on weighted L p spaces of a directed tree. In the forward case, only the trivial trees may support hypercyclic shifts, in… read more here.
Keywords: spaces directed; hypercyclicity; case; shifts weighted ... See more keywords
Disjoint and Simultaneously Hypercyclic Pseudo-Shifts
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DOI: 10.1016/j.jmaa.2022.126130
Abstract: We characterize disjoint and simultaneously hypercyclic tuples of unilateral pseudo-shift operators on l(N). As a consequence, complementing the results of Bernal and Jung, we give a characterization for simultaneously hypercyclic tuples of unilateral weighted shifts.… read more here.
Keywords: hypercyclic pseudo; simultaneously hypercyclic; hypercyclicity; disjoint simultaneously ... See more keywords