Results 91 to 100 of about 1,147,699 (174)

Hypercyclic sequences of operators [PDF]

Studia Mathematica, 2006
A sequence (Tn) of bounded linear operators between Banach spaces X,Y is said to be hypercyclic if there exists a vector x ∈ X such that the orbit {Tnx} is dense in Y . The paper gives a survey of various conditions that imply the hypercyclicity of (Tn) and studies relations among them.
León-Saavedra, F., Müller, V. (Vladimír)   +1 more
openaire   +2 more sources

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

Вестник Донского государственного технического университета, 2018
We give representation of linea continuous operator, commutating with Dankle differentiation. These operators turn out to be chaotic and hypercyclic.
A.V. BRATISHCHEV
doaj  

On subspace-hypercyclic operators [PDF]

Proceedings of the American Mathematical Society, 2011
In this paper we study an operator T T on a Banach space E E which is M M -hypercyclic for some subspace M M of E E . We give a sufficient condition for such an operator to be M M -hypercyclic and use it to answer negatively two questions asked by ...
openaire   +1 more source

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 operators for iterated function systems

, 2020
In this paper we introduce and study the notion of hypercyclicity for iterated function systems (IFS) of operators. We prove that for a linear IFS, hypercyclicity implies sensitivity and if an IFS is abelian, then hypercyclicity also implies multi ...
M. Salman, Ruchi Das
semanticscholar   +1 more source

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

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  

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