Results 1 to 10 of about 1,051 (98)
About Subspace-Frequently Hypercyclic Operators [PDF]
Sahand Communications in Mathematical Analysis, 2020 In this paper, we introduce subspace-frequently hypercyclic operators. We show that these operators are subspace-hypercyclic and there are subspace-hypercyclic operators that are not subspace-frequently hypercyclic. There is a criterion like to subspace-
Mansooreh Moosapoor, Mohammad Shahriari
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Hypercyclicity of adjoint of convex weighted shift and multiplication operators on Hilbert spaces [PDF]
Mathematics and Computational Sciences, 2021 A bounded linear operator $T$ on a Hilbert space $\mathfrak{H}$ is convex, if $$\|\mathfrak{T}^{2}v\|^2-2\|\mathfrak{T}v\|^2+\|v\|^2 \geq 0.$$ In this paper, sufficient conditions to hypercyclicity of adjoint of unilateral (bilateral) forward (backward ...
Lotfollah Karimi
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Hypercyclic Toeplitz Operators [PDF]
Results in Mathematics, 2016 Minor corrections.
Anton Baranov, Andrei Lishanskii
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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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Growth of hypercyclic entire functions for some non-convolution operators
Concrete Operators, 2023 A continuous linear operator TT defined on a Fréchet space XX is said to be hypercyclic if there exists f∈Xf\in X such that, the orbit {Tnf}\left\{{T}^{n}f\right\} is dense in XX. In this article, we consider the operators introduced by Aron and Markose,
Romero de la Rosa María Pilar
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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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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.
Ivković, Stefan +1 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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