Results 41 to 50 of about 990 (118)

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, Grivaux, Sophie, Müller, Vladimir   +2 more
openaire   +4 more sources

Dynamics of multivalued linear operators

Open Mathematics, 2017
We introduce several notions of linear dynamics for multivalued linear operators (MLO’s) between separable Fréchet spaces, such as hypercyclicity, topological transitivity, topologically mixing property, and Devaney chaos.
Chen Chung-Chuan, Conejero J. Alberto, Kostić Marko, Murillo-Arcila Marina   +3 more
doaj   +1 more source

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.
doaj   +1 more source

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, Tabatabaie, Seyyed Mohammad   +1 more
openaire   +3 more sources

G- Cyclicity And Somewhere Dense Orbit

مجلة بغداد للعلوم, 2010
let H be an infinite – dimensional separable complex Hilbert space, and S be a multiplication semigroup of  with 1. An operator T is called G-cyclic over S if there is a non-zero vector xÎ H such that {aTn  x½aÎS, n ≥0} is norm-dense in H.
Zeana Zaki Jamil
doaj   +1 more source

Disjoint hypercyclicity equals disjoint supercyclicity for families of Taylor-type operators

Open Mathematics, 2018
We characterize disjointness of supercyclic operators which map a holomorphic function to a partial sum of the Taylor expansion. In particular, we show that disjoint hypercyclicity equals disjoint supercyclicity for families of Taylor-type operators ...
Ma Yingbin, Wang Cui
doaj   +1 more source

Non-Weakly Supercyclic Weighted Composition Operators

Abstract and Applied Analysis, 2010
We give sufficient conditions under which a weighted composition operator on a Hilbert space of analytic functions is not weakly supercyclic. Also, we give some necessary and sufficient conditions for hypercyclicity and supercyclicity of weighted ...
Z. Kamali, K. Hedayatian, B. Khani Robati   +2 more
doaj   +1 more source

Existence and nonexistence of hypercyclic semigroups [PDF]

, 2007
In these notes we provide a new proof of the existence of a hypercyclic uniformly continuous semigroup of operators on any separable infinitedimensional Banach space that is very different from –and considerably shorter than– the one recently given by ...
Bernal González, Luis, Grosse-Erdmann, Karl-Goswin   +1 more
core  

Algebras of frequently hypercyclic vectors

, 2019
We show that the multiples of the backward shift operator on the spaces $\ell_{p}$, $1\leq ...
Falcó, Javier, Grosse-Erdmann, Karl-G.
core   +1 more source

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
openaire   +3 more sources