Results 71 to 80 of about 592 (143)

Spaces that admit hypercyclic operators with hypercyclic adjoints [PDF]

Proceedings of the American Mathematical Society, 2005
A continuous linear operator T : X →
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Hypercyclicity of Semigroups is a Very Unstable Property

, 2008
Hypercyclicity of C0-semigroups is a very unstable property: We give examples to show that adding arbitrary small constants or a bounded rank one operator to the generator of a hypercyclic semigroup can destroy hypercyclicity.
W. Desch, W. Schappacher
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The concept and properties of quasi-rigid $C_{0}$-semigroups [PDF]

ریاضی و جامعه
In this paper, quasi-rigid $C_{0}$-semigroups are introduced and their properties are investigated. Also, some sufficient conditions for quasi-rigidity are stated. It is proved that quasi-rigid $C_{0}$-semigroups are recurrent. It is stated that if a $C_{
Mansooreh Moosapoor
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Hypercyclicity for a Class of Discrete Spatiotemporal Systems

, 2017
This paper studies the hypercyclicity of the following discrete spatiotemporal system: [Formula: see text] where [Formula: see text] is a system function and [Formula: see text] is a bounded subset of [Formula: see text].
Chuanjun Tian
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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
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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
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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
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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
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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
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Perturbations of hypercyclic vectors

Journal of Mathematical Analysis and Applications, 2002
A bounded linear operator \(T\) on a separable Banach space \(\mathcal B\) is said to be hypercyclic if there is \(x \in \mathcal B\), also called hypercyclic, such that the elements in the orbit \(\{T^ n x\}_{n\geq 0}\) are dense in \(\mathcal B\). Hypercyclicity is one of the strongest forms of cyclicity. \textit{S. Rolewicz} [Stud. Math. 32, 17--22 (
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