Results 1 to 10 of about 394 (38)

On linear chaos in function spaces

open access: yesDemonstratio Mathematica, 2022
We show that, in Lp(0,∞){L}_{p}\left(0,\infty ) (1 ...
Jimenez John M., Markin Marat V.
doaj   +1 more source

Disjoint diskcyclicity of weighted shifts

open access: yesOpen Mathematics, 2022
In this article, we will discuss disjoint diskcyclicity for finitely many operators acting on a separable, infinite dimensional Fréchet space XX. More precisely, we provide disjoint disk blow-up/collapse property and disjoint diskcyclicity criterion.
Wang Cui, Zhou Ze-Hua, Zhang Liang
doaj   +1 more source

On the Cyclicity of Dilated Systems in Lattices: Multiplicative Sequences, Polynomials, Dirichlet-type Spaces and Algebras

open access: yesMoroccan Journal of Pure and Applied Analysis, 2023
The aim of these notes is to discuss the completeness of the dilated systems in a most general framework of an arbitrary sequence lattice X, including weighted ℓp spaces.
Nikolski Nikolai
doaj   +1 more source

Compactness and hypercyclicity of co-analytic Toeplitz operators on de Branges-Rovnyak spaces

open access: yesConcrete Operators, 2020
We study the compactness and the hypercyclicity of Toeplitz operators Tϕ¯,b{T_{\bar \varphi ,b}} with co-analytic and bounded symbols on de Branges-Rovnyak spaces ℋ(b).
Alhajj Rim
doaj   +1 more source

Growth of hypercyclic entire functions for some non-convolution operators

open access: yesConcrete 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
doaj   +1 more source

Cyclic Composition operators on Segal-Bargmann space

open access: yesConcrete Operators, 2022
We study the cyclic, supercyclic and hypercyclic properties of a composition operator Cϕ on the Segal-Bargmann space ℋ(ℰ), where ϕ(z) = Az + b, A is a bounded linear operator on ℰ, b ∈ ℰ with ||A|| ⩽ 1 and A*b belongs to the range of (I – A*A)½ ...
Ramesh G.   +2 more
doaj   +1 more source

Somewhere Dense Orbit that is not Dense on a Complex Hilbert Space

open access: yesConcrete Operators, 2019
In this paper, we present the existence of n-tuple of operators on complex Hilbert space that has a somewhere dense orbit and is not dense. We give the solution to the question stated in [11]: “Is there n-tuple of operators on a complex Hilbert space ...
Wilberth Neema   +2 more
doaj   +1 more source

Dynamics of tuples of matrices [PDF]

open access: yes, 2008
In this article we answer a question raised by N. Feldman in \cite{Feldman} concerning the dynamics of tuples of operators on $\mathbb{R}^n$. In particular, we prove that for every positive integer $n\geq 2$ there exist $n$ tuples $(A_1, A_2, ..., A_n ...
Costakis, George   +2 more
core   +1 more source

Hypercyclicity of Composition Operators on Orlicz Function Spaces

open access: yesMoroccan 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.
doaj   +1 more source

Hypercyclic algebras for D-multiples of convolution operators [PDF]

open access: yes, 2018
It is shown in this short note the existence, for each nonzero member of the ideal of D-multiples of convolution operators acting on the space of entire functions, of a scalar multiple of it supporting a hypercyclic algebra.Plan Andaluz de Investigación (
Bernal González, Luis   +1 more
core   +1 more source

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