Results 81 to 90 of about 1,297 (140)

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

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

The Specification Property for $C_0$-Semigroups

, 2018
We study one of the strongest versions of chaos for continuous dynamical systems, namely the specification property. We extend the definition of specification property for operators on a Banach space to strongly continuous one-parameter semigroups of ...
Bartoll, S., Martínez-Giménez, F., Peris, A., Rodenas, F.   +3 more
core  

Recurrency on the Space of Hilbert-Schmidt Operators

مجلة بغداد للعلوم
In this paper, it is proved that if a C0-semigroup is chaotic, hypermixing or supermixing, then the related left multiplication C0-semigroup on the space of Hilbert-Schmidt operators is recurrent if and only if it is hypercyclic. Also, it is stated that
Mansooreh Moosapoor
doaj   +1 more source

Some recent work in Frechet geometry

, 2011
Some recent work in Frechet geometry is briefly reviewed. In particular an earlier result on the structure of second tangent bundles in the finite dimensional case was extended to infinite dimensional Banach manifolds and Frechet manifolds that could be ...
Dodson, C. T. J.
core  

Dual disjoint hypercyclic operators

Journal of Mathematical Analysis and Applications, 2011
A finite family of operators \(T_1,T_2,\dots ,T_m\), \(m\geq 2\), on a Fréchet space \(E\) is disjointly hypercyclic if there are \(x\in E\) such that \(\{ ( T_1^nx, \dots ,T_m^nx) \mid n\geq 0\}\) is dense in \(E^m\). The author shows that for every separable infinite-dimensional Banach space \(E\), and for each \(m\geq 2\), there is a family of ...
openaire   +2 more sources

Notes on the Hypercyclic Operator

Journal of Mathematical Extension, 2008
In this paper by using a nice criterion, we show that the perturbation of identity operators by some multiples of the standard backward shift is hypercyclic. This gives a new proof for Salas Theorem in ( [10 ], Theorem 3.3).
H. Rezaei
doaj  

Subspace-diskcyclic sequences of linear operators [PDF]

Sahand Communications in Mathematical Analysis, 2017
A sequence ${T_n}_{n=1}^{infty}$ of bounded linear  operators on a separable infinite dimensional Hilbert space $mathcal{H}$ is called subspace-diskcyclic with respect to the closed subspace $Msubseteq mathcal{H},$ if there exists a vector $xin mathcal{H}
Mohammad Reza Azimi
doaj  

Mean Li-Yorke chaos in Banach spaces

, 2018
We investigate the notion of mean Li-Yorke chaos for operators on Banach spaces. We show that it differs from the notion of distributional chaos of type 2, contrary to what happens in the context of topological dynamics on compact metric spaces. We prove
Bernardes Jr., N. C., Bonilla, A., Peris, A.   +2 more
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