Results 101 to 110 of about 2,965 (120)

Weak disjointness of hypercyclic operators

open access: green
Li, Jian, Liao, Qijing, Ruan, Yonghang
openalex   +1 more source

The interplay between recurrence and hypercyclicity in dissipative contexts

RACSAM, 2023
Motivated by recent investigations [9, 10] on the notion of recurrence in linear dynamics, we deepen into the notions of recurrence and frequent recurrence in the setting of dissipative composition operators with bounded distortion, a class of linear ...
Original Paper   +4 more
semanticscholar   +1 more source

Frequent hypercyclicity of the tensor products of composition operators on weighted Dirichlet spaces

Complex Variables and Elliptic Equations, 2023
In this paper, we mainly study the frequent hypercyclicity of a scalar multiple of the tensor product of two linear fractional composition operators $ \lambda C_{\varphi }\otimes C_{\psi } $ λCφ⊗Cψ on $ S_{\nu }\otimes S_{\nu } $ Sν⊗Sν, where $ S_{\nu } $
Zhitao Guo
semanticscholar   +1 more source

Hypercyclicity of the adjoint of weighted composition operators on the reproducing kernel Hilbert spaces

International Mathematical Forum, 2022
The aim of this paper is to study the hypercyclicity of the adjoint of weighted composition operators on the vector-valued analytic reproducing kernel Hilbert spaces.
Zhitao Guo
semanticscholar   +1 more source

Hypercyclicity, supercyclicity, and cyclicity of a weighted composition operator on ℓ p spaces

Georgian Mathematical Journal, 2021
In this paper, we give a characterization of a hypercyclic weighted composition operator on ℓ p {\ell^{p}} ( 1 ≤ p < ∞ {1\leq ...
V. K. Srivastava, H. Chandra
semanticscholar   +1 more source

Hypercyclicity of weighted translations on locally compact Hausdorff spaces

, 2021
Let G be a locally compact second countable Hausdorff space with a positive regular Borel measure and ω is a weight on G. In this article, we provide necessary and sufficient conditions for the hypercyclic weighted translations acting on the weighted ...
Ya Wang, Ze‐hua Zhou
semanticscholar   +1 more source

Growth of hypercyclic functions: a continuous path between $\mathcal{U}$-frequent hypercyclicity and hypercyclicity

Proceedings of the Edinburgh Mathematical Society
We are interested in the optimal growth in terms of Lp-averages of hypercyclic and $\mathcal{U}$-frequently hypercyclic functions for some weighted Taylor shift operators acting on the space of analytic functions on the unit disc.
Augustin Mouze, V. Munnier
semanticscholar   +1 more source

Notes on the Hypercyclicity of Discrete Time-varying Linear Dynamical systems

International Conference on Cybernetics, Robotics and Control
This paper establishes a sufficient condition for the hypercyclicity of discrete time-varying linear systems on finite-dimensional Euclidean spaces ${{\mathbb{R}}^m}$ under vanishing perturbations.
Xin Liu, Shengnan He
semanticscholar   +1 more source

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