Results 61 to 70 of about 990 (118)

The narrow recurrence of random dynamical systems [PDF]

Mathematica Bohemica
Let $(\Omega,\mathcal{F},\mathbb{P})$ be a probability space, where $\mathcal{F}$ is countably generated, and $X$ be a Polish space. Let $\varphi$ be a random dynamical system with time $\mathbb{T}$ on $X$.
Ahmed Zaou, Mohamed Amouch
doaj   +1 more source

Weakly Hypercyclic Composition Operators on some Hilbert Spaces of Analytic Functions

Journal of Mathematical Extension, 2013
In this paper, weakly supercyclicity and weakly hypercyclicity of composition operators on some Hilbert spaces of analytic functions, especially on some weighted Hardy spaces are investigated.
Z. Kamali
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

Tuples of Operators with Hereditarily Transitivity Property

Journal of Mathematical Extension, 2013
In this paper, we investigate the relation between hypercyclicity and d-dense orbits of a tuple of operators.
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

On the disk-cyclic linear relations [PDF]

Mathematica Bohemica
The study of linear dynamical systems for linear relations was initiated by C.-C. Chen et al. in (2017). Then E. Abakumov et al. extended hypercyclicty to linear relations in (2018). We extend the concept of disk-cyclicity studied in M.
Mohamed Amouch, Ali Ech-Chakouri, Hassane Zguitti   +2 more
doaj   +1 more source

Recurrence and mixing recurrence of multiplication operators [PDF]

Mathematica Bohemica
Let $X$ be a Banach space, $\mathcal{B}(X)$ the algebra of bounded linear operators on $X$ and $(J, \|{\cdot}\|_J)$ an admissible Banach ideal of $\mathcal{B}(X)$.
Mohamed Amouch, Hamza Lakrimi
doaj   +1 more source

A new class of frequently hypercyclic operators [PDF]

, 2010
We study a hypercyclicity property of linear dynamical systems: a bounded linear operator T acting on a separable infinite-dimensional Banach space X is said to be hypercyclic if there exists a vector x in X such that {T^{n}x : n>0} is dense in X, and ...
Grivaux, Sophie
core  

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