Results 81 to 90 of about 1,158,171 (157)

СHAOTIC COMMUTATING WITH THE DUNKL DIFFERENTIATION LINEAR OPERATORS ON THE SPACE OF ANALYTIC FUNCTIONS

Advanced Engineering Research, 2009
We give representation of linea continuous operator, commutating with Dankle differentiation. These operators turn out to be chaotic and hypercyclic.
A.V. BRATISHCHEV
doaj  

Supercyclicity and Hypercyclicity of an Isometry Plus a Nilpotent

Abstract and Applied Analysis, 2011
Suppose that X is a separable normed space and the operators A and Q are bounded on X. In this paper, it is shown that if AQ=QA, A is an isometry, and Q is a nilpotent then the operator A+Q is neither supercyclic nor weakly hypercyclic. Moreover, if the
S. Yarmahmoodi, K. Hedayatian, B. Yousefi   +2 more
doaj   +1 more source

Hypercyclic differentiation operators

, 1999
8 ...
Aron, Richard M., Bes, Juan P.
openaire   +2 more sources

Invertible Subspace-Hypercyclic Operators

Journal of Mathematical Extension, 2015
A bounded linear operator on a Banach space X is called subspace-hypercyclic for a subspace M if Orb(T, x) \ M is dense in M for a vector x 2 M. In this paper we give conditions under which an operator is M-hypercyclic.
S. Talebi, B. Yousefi, M. Asadipour
doaj  

Hypercyclic and chaotic operators in space of functions analytic in domain

Ufa Mathematical Journal
We consider the space $H(\Omega)$ of functions analytic in a simply connected domain $\Omega$ in the complex plane equipped with the topology of uniform convergence on compact sets. We study issues on hypercyclicity, chaoticity and frequently hypercyclic
A. I. Rakhimova
semanticscholar   +1 more source

F-hypercyclic operators on Fréchet spaces

Publications de l'Institut Math?matique (Belgrade), 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   +1 more source

On the Epsilon Hypercyclicity of a Pair of Operators

Journal of Mathematical Extension, 2011
In this paper we prove that if a pair of operators is - hypercyclic for all  > 0, then it is topologically ...
B. Yousefi∗, K. Jahedi
doaj  

Introduction to the dynamical properties of Toeplitz operators on the Hardy space of the unit disc

Concrete Operators
These notes are based on a mini-course given at the ACOTCA conference 2025. The goal is to present full proofs of the first two key results regarding hypercyclic Toeplitz operators, in a way that is accessible to beginners.
Fricain Emmanuel, Ostermann Maëva
doaj   +1 more source

Supercyclic Weighted Composition Operators on the Space of Smooth Functions

Mathematics
A weighted composition operator on the space of scalar-valued smooth functions on an open subset of a d-dimensional Euclidean space is supercyclic if and only if it is weakly mixing, and it is strongly supercyclic if and only if it is mixing.
Juan Bès, Christopher Foster
doaj   +1 more source

Orbital and spectral aspects of hypercyclic operators and semigroups

Indagationes mathematicae, 2019
In connection with the theory of hypercyclicity of bounded linear operators and strongly continuous semigroups of operators on Banach spaces, we make several observations about the following three topics – (i) special types of orbits, (ii) the role of ...
T. Moothathu
semanticscholar   +1 more source