Results 111 to 120 of about 1,297 (140)

Hypercyclic and Chaotic Convolution Operators

Journal of the London Mathematical Society, 2000
Every convolution operator on a space of ultradifferentiable functions of Beurling or Roumieu type and on the corresponding space of ultradistributions is hypercyclic and chaotic (i.e., it is transitive and has a dense set of periodic points) when it is not a multiple of the identity.
openaire   +2 more sources

Rotations of Hypercyclic and Supercyclic Operators

Integral Equations and Operator Theory, 2004
A (bounded linear) operator \(T\) on a Banach space \(X\) is called hypercyclic if there is a vector \(x \in X\) such that its orbit \(\{T^n(x) \;| \;n=0,1,2,... \}\) is dense in \(X\); the vector \(x\) is called hypercyclic for \(T\). The operator \(T\) is called supercyclic if \(\{ \alpha T^n(x) \;| \alpha \in \mathbb C, n \in \mathbb N \}\) is dense
León-Saavedra, Fernando, Müller, Vladimír   +1 more
openaire   +1 more source

Existence of hypercyclic operators

2011
In this chapter we obtain, among other things, the Ansari–Bernal theorem that every infinite-dimensional separable Banach space supports a hypercyclic operator. In contrast, some infinite-dimensional separable Banach spaces do not support any chaotic operator. We also discuss here the richness of the set of hypercyclic operators in two ways: it forms a
Karl-G. Grosse-Erdmann, Alfred Peris Manguillot   +1 more
openaire   +1 more source

Powers of Hypercyclic Functions for Some Classical Hypercyclic Operators

Integral Equations and Operator Theory, 2007
We show that no power of any entire function is hypercyclic for Birkhoff’s translation operator on $$\mathcal{H}(\mathbb{C})$$ . On the other hand, we see that the set of functions whose powers are all hypercyclic for MacLane’s differentiation operator is a Gδ ...
R. M. Aron, J. A. Conejero, A. Peris, J. B. Seoane–Sepúlveda   +3 more
openaire   +1 more source

Disjoint hypercyclic Toeplitz operators

Archiv der Mathematik
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Özkan Değer, Beyaz Başak Eskişehirli
openaire   +2 more sources

Hypercyclic and chaotic operators

2011
In this chapter, the notions and results from the first chapter are revisited in the context of linearity. We introduce the notion of a hypercyclic operator and that of a chaotic operator. Among other things it is proved that the classical operators of Birkhoff, MacLane and Rolewicz are chaotic; it is shown that every hypercyclic operator possesses a ...
Karl-G. Grosse-Erdmann, Alfred Peris Manguillot   +1 more
openaire   +1 more source

Integrative oncology: Addressing the global challenges of cancer prevention and treatment

Ca-A Cancer Journal for Clinicians, 2022
Jun J Mao,, Msce, Lorenzo Cohen, Karen M Mustian   +2 more
exaly  

On Hypercyclic Operators

International Journal of Mathematics Trends and Technology, 2020
openaire   +1 more source

Obesity and adverse breast cancer risk and outcome: Mechanistic insights and strategies for intervention

Ca-A Cancer Journal for Clinicians, 2017
Cynthia Morata-Tarifa, Joyce M Slingerland   +1 more
exaly  

Multidisciplinary standards of care and recent progress in pancreatic ductal adenocarcinoma

Ca-A Cancer Journal for Clinicians, 2020
Aaron J Grossberg, William L Hwang, Anirban Maitra   +2 more
exaly