Results 91 to 100 of about 3,099 (194)

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

Universality of sequences of operators related to Taylor series [PDF]

, 2019
In this note, the universality of a sequence of operators associated to the partial sums of the Taylor series of a holomorphic function is investigated.
Bernal González, Luis, Cabana Méndez, Hernán Javier, Muñoz Fernández, Gustavo Adolfo, Seoane Sepúlveda, Juan Benigno   +3 more
core  

Hypercyclicity of weighted translations on Orlicz spaces

, 2018
In this paper, we study the hypercyclicity of the weighted translation Cu,g defined on Orlicz space LΦ(G) where G is a locally compact group, g ∈ G and u is a weight function on G .
M. Azimi, I. Akbarbaglu
semanticscholar   +1 more source

A universal hypercyclic representation

Journal of Functional Analysis, 2015
For any countable group, and also for any locally compact second countable, compactly generated topological group, G, we show the existence of a "universal" hypercyclic (i.e. topologically transitive) representation on a Hilbert space, in the sense that it simultaneously models every possible ergodic probability measure preserving free action of G.
Benjamin Weiss, Eli Glasner
openaire   +3 more sources

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  

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

Disjoint frequent hypercyclicity of composition operators [PDF]

Advances in Mathematics, 2022
F. Bayart
semanticscholar   +1 more source

Sums of hypercyclic operators

Journal of Functional Analysis, 2003
A (bounded) operator \(T\) on a complex infinite-dimensional separable Banach space \(X\) is said to be hypercyclic if there is a (hypercyclic) vector \(x \in X\) such that its orbit \(O(T,x):=\{x,Tx,T^2x,\dots\}\) is dense in \(X\). The operator \(T\) is called chaotic if it is hypercyclic and the set of periodic points of \(T\) is dense in \(X ...
openaire   +3 more sources

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   +2 more sources

Ultra hypercyclicity

, 2023
arXiv admin note: text overlap with arXiv:2304 ...
Liu, Martin, Walmsley, David, Xue, James
openaire   +2 more sources