Results 21 to 30 of about 491,446 (159)
Hypercyclic Generalized Shift Operators
Complex Analysis and Operator Theory, 2023 In this paper, we study the linear dynamical properties of shift operators on some classes of Segal algebras. Moreover, we characterize hypercyclic generalized bilateral shift operators on the standard Hilbert module.
Ivkovi?, Stefan +1 more
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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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$q$-Frequently hypercyclic operators [PDF]
Banach Journal of Mathematical Analysis, 2015 13 pages, to ...
Gupta, Manjul, Mundayadan, Aneesh
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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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Hypercyclic tuples of operators on $C^n$ and $R^n$ [PDF]
, 2012 A tuple $(T_1,\dots,T_n)$ of continuous linear operators on a topological vector space $X$ is called hypercyclic if there is $x\in X$ such that the the orbit of $x$ under the action of the semigroup generated by $T_1,\dots,T_n$ is dense in $X$.
Shkarin, Stanislav
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CHAOTIC AND HYPERCYCLIC OPERATORS ON SOLID BANACH FUNCTION SPACES
Проблемы анализа, 2020 In this paper, we study hypercyclicity on solid Banach function spaces, and give the characterization for weighted translation operators to be hypercyclic in terms of weight and aperiodic functions.
C-C. Chen, S. M. Tabatabaie
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Hypercyclicity for the Elements of the Commutant of an Operator [PDF]
Integral Equations and Operator Theory, 2014 ABSTRACT:Given a bounded linear operator T acting on a complex Banach space, we obtain a spectral condition implying that each operator in the commutant of T different from ?I has a hypercyclic multiple, and we show several examples of operators satisfying this condition.
González Ortiz, Manuel +1 more
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Recurrence properties of hypercyclic operators [PDF]
, 2014 We generalize the notions of hypercyclic operators, $\mathfrak{U}$-frequently hypercyclic operators and frequently hypercyclic operators by introducing a new notion of hypercyclicity, called $\mathcal{A}$-frequent hypercyclicity.
Bès, Juan +3 more
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The Hypercyclicity Criterion for sequences of operators [PDF]
Studia Mathematica, 2003 Let \(X\) denote a separable, complete, metrizable topological vector space (a separable \(F\)-space). A sequence \((T_n) \subset L(X)\) of continuous linear operators on \(X\) is called hypercyclic if there exists \(x \in X\), called a hypercyclic vector, for the sequence, such that its orbit \(\{ T_1(x),T_2(x),\dots \}\) is dense in \(X\). A sequence
Bernal-González, L. +1 more
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Hypercyclic operators are subspace hypercyclic
Journal of Mathematical Analysis and Applications, 2016 A bounded operator \(T\) on a separable Banach space \(X\) is called subspace hypercyclic for a subspace \(M\) of \(X\) if there is a vector \(x \in X\) such that the intersection of its orbit and \(M\) is dense in \(M\). The aim of this paper is to solve a question of \textit{B. F. Madore} and \textit{R. A. Martínez-Avendaño} [J. Math. Anal. Appl. 373,
Nareen Bamerni +2 more
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