Results 111 to 120 of about 3,099 (194)

Common hypercyclic vectors for the conjugate class of a hypercyclic operator

Journal of Mathematical Analysis and Applications, 2011
AbstractGiven a separable, infinite dimensional Hilbert space, it was recently shown by the authors that there is a path of chaotic operators, which is dense in the operator algebra with the strong operator topology, and along which every operator has the exact same dense Gδ set of hypercyclic vectors.
Chan, Kit C., Sanders, Rebecca
openaire   +2 more sources

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

Hypercyclicity of operators that λ-commute with the differentiation operator on the space of entire functions

Journal of Functional Analysis, 2022
I. F. Z. Bensaid, Manuel González, F. León-Saavedra, M. D. L. de la Rosa   +3 more
semanticscholar   +1 more source

Universal families and hypercyclic operators [PDF]

, 1999
Karl-Goswin Grosse-Erdmann
openalex   +1 more source

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   +2 more sources

On the existence of chaotic and hypercyclic semigroups on Banach spaces [PDF]

, 2002
Teresa Bermúdez, A. Bonilla, Antonio Martinón   +2 more
openalex   +1 more source

Operators with hypercyclic Cesaro means [PDF]

, 2002
Fernando León-Saavedra
openalex   +1 more source

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  

Spectrum of a weakly hypercyclic operator meets the unit circle [PDF]

, 2003
S. J. Dilworth, Vladimir G. Troitsky
openalex   +1 more source

Hypercyclic and Chaotic Convolution Operators on Chébli-Trimèche Hypergroups [PDF]

, 2004
Jorge J. Betancor, J. D. Betancor, Jessica Méndez   +2 more
openalex   +1 more source