Results 61 to 70 of about 109 (103)

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

Subspace hypercyclicity

Journal of Mathematical Analysis and Applications, 2011
15 ...
Madore, Blair F., Martínez-Avendaño, Rubén A.   +1 more
openaire   +3 more sources

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

FREQUENTLY HYPERCYCLIC BILATERAL SHIFTS [PDF]

Glasgow Mathematical Journal, 2018
AbstractIt is not known whether the inverse of a frequently hypercyclic bilateral weighted shift on c0(ℤ) is again frequently hypercyclic. We show that the corresponding problem for upper frequent hypercyclicity has a positive answer. We characterise, more generally, when bilateral weighted shifts on Banach sequence spaces are (upper) frequently ...
openaire   +2 more sources

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

Densely hereditarily hypercyclic sequences and large hypercyclic manifolds [PDF]

Proceedings of the American Mathematical Society, 1999
We prove in this paper that if ( T n ) (T_{n}) is a hereditarily hypercyclic sequence of continuous linear mappings between two topological vector spaces X X and Y Y , where Y Y is metrizable, then there is an ...
openaire   +1 more source

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  

Fast orbital convergence reveals more hypercyclic vectors

Applied General Topology
Let X be an infinite dimensional separable Banach space, T : X → X be a hypercyclic operator, and x ∈ X be a (frequently) hypercyclic vector of T. We show that if the terms from the T-orbit of x converge to a vector y sufficiently fast, then y is also a ...
T. K. Subrahmonian Moothathu
doaj   +1 more source