In this paper we consider spaces of sequences which are valued in a topological space E and study generalized backward shifts associated to certain selfmappings of E. We characterize their universality in terms of dynamical properties of the underlying selfmappings. Applications to hypercyclicity theory are given. In particular, Rolewicz’s theorem on hypercyclicity of scalar multiples of the classical backward shift is extended.Plan Andaluz de Investigación (Junta de Andalucía
AbstractThe main aim of the present paper is to describe some relations between specification proper...
In this semi-expository paper, we examine the backward shift operator Bf := (f-f(0)/z on the classic...
AbstractWe show that any countable family of operators of the form P(B), where P is a non-constant p...
AbstractIn this paper we consider spaces of sequences which are valued in a topological space E and ...
AbstractIn this paper we consider spaces of sequences which are valued in a topological space E and ...
[EN] We investigate dynamical properties such as topological transitivity, (sequential) hypercyclici...
We study frequent hypercyclicity in the case of weighted backward shift operators acting on locally ...
AbstractWe provide sufficient conditions which give uniform distributional chaos for backward shift ...
Costakis G, Manoussos A, Nasseri AB. Dynamics of perturbations of the identity operator by multiples...
Usually backward shift is neither chaotic nor hypercyclic. We will show that on the space A(Omega) o...
This is an Accepted Manuscript of an article published by Taylor & Francis Group in [Journal of Diff...
A bounded and linear operator is said to be hypercyclic if there exists a vector such that its orbi...
In this paper a new sort of operators, the Taylor shifts, is introduced. They appear as a generaliza...
AbstractWe prove that ℓ2 contains vectors which are hypercyclic simultaneously for all multiples of ...
A bounded and linear operator is said to be hypercyclic if there exists a vector such that its orbi...
AbstractThe main aim of the present paper is to describe some relations between specification proper...
In this semi-expository paper, we examine the backward shift operator Bf := (f-f(0)/z on the classic...
AbstractWe show that any countable family of operators of the form P(B), where P is a non-constant p...
AbstractIn this paper we consider spaces of sequences which are valued in a topological space E and ...
AbstractIn this paper we consider spaces of sequences which are valued in a topological space E and ...
[EN] We investigate dynamical properties such as topological transitivity, (sequential) hypercyclici...
We study frequent hypercyclicity in the case of weighted backward shift operators acting on locally ...
AbstractWe provide sufficient conditions which give uniform distributional chaos for backward shift ...
Costakis G, Manoussos A, Nasseri AB. Dynamics of perturbations of the identity operator by multiples...
Usually backward shift is neither chaotic nor hypercyclic. We will show that on the space A(Omega) o...
This is an Accepted Manuscript of an article published by Taylor & Francis Group in [Journal of Diff...
A bounded and linear operator is said to be hypercyclic if there exists a vector such that its orbi...
In this paper a new sort of operators, the Taylor shifts, is introduced. They appear as a generaliza...
AbstractWe prove that ℓ2 contains vectors which are hypercyclic simultaneously for all multiples of ...
A bounded and linear operator is said to be hypercyclic if there exists a vector such that its orbi...
AbstractThe main aim of the present paper is to describe some relations between specification proper...
In this semi-expository paper, we examine the backward shift operator Bf := (f-f(0)/z on the classic...
AbstractWe show that any countable family of operators of the form P(B), where P is a non-constant p...