Results 1 to 10 of about 1,147,699 (174)

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
doaj   +4 more sources

Hypercyclic Toeplitz operators [PDF]

Results in Mathematics, 2016
We study hypercyclicity of the Toeplitz operators in the Hardy space $H^2(\mathbb{D})$ with symbols of the form $p(\bar{z}) +\phi(z)$, where $p$ is a polynomial and $\phi \in H^\infty(\mathbb{D})$.
Baranov, Anton, Lishanskii, Andrei
core   +3 more sources

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
semanticscholar   +3 more sources

HYPERCYCLIC COMPOSITION OPERATORS

Journal of Vasyl Stefanyk Precarpathian National University, 2015
In this paper we give survey of hypercyclic composition operators. In pacticular,we represent new classes of hypercyclic composition operators on the spaces of analyticfunctions.
Z.H. Mozhyrovska
doaj   +3 more sources

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
semanticscholar   +3 more sources

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
doaj   +2 more sources

Hereditarily frequently hypercyclic operators and disjoint frequent hypercyclicity [PDF]

Ergodic Theory and Dynamical Systems
We introduce and study the notion of hereditary frequent hypercyclicity, which is a reinforcement of the well-known concept of frequent hypercyclicity.
F. Bayart, Sophie Grivaux, É. Matheron, Quentin Menet   +3 more
semanticscholar   +4 more sources

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
doaj   +2 more sources

On Cesaro-Hypercyclic Operators

International Journal of Analysis and Applications
In this paper we characterize some properties of the Cesaro-Hypercyclic and mixing operators. At the same time, we also give a Cesaro-Hypercyclicity criterion and offer an example of this criterion.
Mohammed El Berrag
semanticscholar   +2 more sources

F-hypercyclic operators on Fréchet spaces

Publications de l'Institut Mathematique, 2019
We investigate F-hypercyclicity of linear, not necessarily continuous, operators on Frechet spaces. The notion of lower (mn)-hypercyclicity seems to be new and not considered elsewhere even for linear continuous operators acting on Frechet spaces.
M. Kostic
semanticscholar   +3 more sources