Results 1 to 10 of about 1,158,102 (101)
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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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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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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On the spectrum of supercyclic/hypercyclic operators
Advances in Operator TheoryThis paper concerns the spectral structure of hypercyclic and supercyclic operators defined on Banach spaces, or defined on Hilbert spaces. We also consider the spectral properties of operators in Hilbert spaces that commute with a hypercyclic operator ...
Pietro Aiena +2 more
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Limits of hypercyclic operators on Hilbert spaces
Journal of Mathematical Analysis and ApplicationsPietro Aiena, Salvatore Triolo
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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 operators on Hilbert C*-modules [PDF]
Filomat, 2023 In this paper we characterize hypercyclic generalized bilateral weighted shift operators on the standard Hilbert module over the C*-algebra of compact operators on the separable Hilbert space.
S. Ivković
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Extending Families of Disjoint Hypercyclic Operators [PDF]
Journal of Mathematical Analysis and Applications, 2023 In the present note, we solve two open questions posed by Salas in [H. Salas, The strong disjoint blow-up/collapse property, J. Funct. Spaces Appl., 2013, Article ID 146517, 6 pages] about disjoint hypercyclic operators.
Özgür Martin, Rebecca Sanders
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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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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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