Results 91 to 100 of about 592 (143)

On the direct sum of two bounded linear operators and subspace-hypercyclicity [PDF]

, 2020
In this paper, we study the relation between subspace-hypercyclicity and the direct sum of two operators. In particular, we show that if the direct sum of two operators is subspace-hypercyclic, then both operators are subspace-hypercyclic; however, the ...
Kilicman, Adem, Bamerni, Nareen
core   +1 more source

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

ε-hypercyclic operators that are not δ-hypercyclic for δ < ε

Journal of Mathematical Analysis and Applications
For every fixed $ε$ $\in$ (0, 1), we construct an operator on the separable Hilbert space which is $δ$-hypercyclic for all $δ$ $\in$ ($ε$, 1) and which is not $δ$-hypercyclic for all $δ$ $\in$ (0, $ε$).
openaire   +1 more source

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
openaire   +3 more sources

Hypercycle

PLOS Computational Biology, 2016
Natalia Szostak, Szymon Wasik, Jacek Blazewicz   +2 more
openaire   +5 more sources

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   +2 more sources

Hypercyclic and Cyclic Vectors

Journal of Functional Analysis, 1995
Let \(\mathcal X\) denote a separable complex Banach space. A vector \(x\in {\mathcal X}\) is said to be hypercyclic for an operator \(T\) on \(\mathcal X\) if the set \(\{T^n x: n\in \mathbb{N}\}\) is norm dense in \(\mathcal X\). We say that \(x\) is supercyclic if the set \(\{aT^n x: n\in \mathbb{N}, a\in \mathbb{C}\}\) is norm dense. An operator is
openaire   +1 more source

Disjoint frequent hypercyclicity of composition operators

, 2022
We give a sufficient condition for two operators to be disjointly frequently hypercyclic. We apply this criterion to composition operators acting on $H(\mathbb D)$ or on the Hardy space $H^2(\mathbb D)$.
Bayart, Frédéric
core  

On the Epsilon Hypercyclicity of a Pair of Operators

Journal of Mathematical Extension, 2011
In this paper we prove that if a pair of operators is - hypercyclic for all  > 0, then it is topologically ...
B. Yousefi∗, K. Jahedi
doaj  

Cyclic variations in the dynamics of flu incidence in Azerbaijan, 1976-2000. [PDF]

Epidemiol Infect, 2015
Dimitrov BD, Babayev ES.
europepmc   +1 more source