Results 61 to 70 of about 131 (122)

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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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  

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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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
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Extension of hypercyclic and frequently hypercyclic subspaces

We focus on the existence of large linear structures within the sets of hypercyclic and frequently hypercyclic vectors. For operators $T$ satisfying Kitai's Criterion or the Frequent Hypercyclicity Criterion, we analyze the fundamental linear space $\{f(T)x | f \in H(\mathbb{C})\}$, studied by Herrero, Bourdon, Bès, Wengenroth, and many others. We show
Silva, Felipe Carvalho, Ribeiro, Geivison, Varão, Régis   +2 more
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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

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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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  

Chromatic polynomials of mixed hypercycles

Discussiones Mathematicae Graph Theory, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Allagan Julian A., Slutzky David
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The abelianization of hypercyclic groups

Central European Journal of Mathematics, 2007
It was shown in the literature that the Abelianization of a hypercentral group has a considerable influence on the structure of the group itself. Since hypercentral groups are hypercyclic groups, it is natural to ask whether the results obtained for hypercentral groups extend to hypercyclic groups. In the article under review, different aspects of this
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