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Existence of disjoint frequently hypercyclic operators which fail to be disjoint weakly mixing [PDF]
Journal of Mathematical Analysis and Applications, 2021 . In this short note, we answer a question of Martin and Sanders [Integr. Equ. Oper. Theory, 85 (2) (2016), 191-220] by showing the existence of disjoint frequently hypercyclic operators which fail to be disjoint weakly mixing and, therefore, fail to ...
Özgür Martin, Y. Puig
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Frequently hypercyclic operators [PDF]
Transactions of the American Mathematical Society, 2006 We investigate the subject of linear dynamics by studying the notion of frequent hypercyclicity for bounded operators T T on separable complex F \mathcal {F} -spaces: T T is frequently hypercyclic if there exists a vector x x such that for every nonempty open subset
Bayart, Frédéric, Grivaux, Sophie
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$q$-Frequently hypercyclic operators [PDF]
Banach Journal of Mathematical Analysis, 2015 13 pages, to ...
Gupta, Manjul, Mundayadan, Aneesh
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Non‐Diskcyclicity of Bounded Composition Operators on the Little Bloch Space and the Besov Space
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 In this paper, we show that there are no diskcyclic composition operators on the little Bloch space ℬ0 and the Besov spaces Bp.
Hang Zhou +2 more
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On the Recurrent C0‐Semigroups, Their Existence, and Some Criteria
Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021 In this paper, recurrent C0‐semigroups are introduced and investigated. It is proved that, despite hypercyclic C0‐semigroups, recurrent C0‐semigroups can be found on finite‐dimensional Banach spaces. Some criteria are stated for recurrence, which is based on open sets, neighborhoods of zero, and special eigenvectors.
Mansooreh Moosapoor, Tuncer Acar
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Chaos for the Dynamics of Toeplitz Operators
Mathematics, 2022 Chaotic properties in the dynamics of Toeplitz operators on the Hardy–Hilbert space H2(D) are studied. Based on previous results of Shkarin and Baranov and Lishanskii, a characterization of different versions of chaos formulated in terms of the ...
Salud Bartoll +3 more
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Topological Transitivity of Shift Similar Operators on Nonseparable Hilbert Spaces
Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021 In this paper, we investigate topological transitivity of operators on nonseparable Hilbert spaces which are similar to backward weighted shifts. In particular, we show that abstract differential operators and dual operators to operators of multiplication in graded Hilbert spaces are similar to backward weighted shift operators.
Andriy Zagorodnyuk +2 more
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Multiples of hypercyclic operators [PDF]
Proceedings of the American Mathematical Society, 2008 We give a negative answer to a question of Prăjitură by showing that there exists an invertible bilateral weighted shift T T on ℓ 2 ( Z ) \ell _2(\mathbb {Z}) such that T T and 3 T 3T are ...
Badea, Catalin +2 more
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On invertible hypercyclic operators [PDF]
Proceedings of the American Mathematical Society, 1992 Let A A be an invertible (bounded linear) operator acting on a complex Banach space X \mathcal {X} . A A is called hypercyclic if there is a vector y y in X \mathcal {X} such that the orbit Orb ( A ;
Herrero, Domingo A., Kitai, Carol
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Hypercyclicity of Composition Operators on Orlicz Function Spaces
Moroccan Journal of Pure and Applied Analysis, 2020 In this paper, we discuss the hypercyclic properties of composition operators on Orlicz function spaces. We give some different conditions under which a composition operator on Orlicz spaces is hyper-cyclic or not. Similarly, multiplication operators are
Jafari F., Kamali Z.
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