On hypercyclicity and supercyclicity criteria

By Teresa Bermúdez, Antonio Bonilla, Alfredo Peris. Bulletin of the Australian Mathematical Society, 2004

67 citations recorded by the source corpus.

We show that the Hypercyclicity Criterion coincides with other existing hypercyclicity criteria and prove that a wide class of hypercyclic operators satisfy the Criterion. The results obtained extend or improve earlier work of several authors. We also unify the different versions of the Supercyclicity Criterion and show that operators with dense generalised kernel and dense range are supercyclic.

Subfields: Algebra and Number Theory, Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/205ca85cc4c966bc09075c8fd4fb5e13fc2cec03

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. S. Grivaux

In Applied Mathematics

1. S. Grivaux
2. É. Matheron
3. Quentin Menet
4. Fr'ed'eric Bayart
5. Antonio Bonilla
6. K. Grosse-Erdmann
7. Tatjana Eisner
8. Alfredo Peris

In Geometry and Topology

1. S. Grivaux
2. É. Matheron

Citations in the corpus

• HYPERCYCLIC OPERATORS, MIXING OPERATORS AND THE BOUNDED STEPS PROBLEM (2005, background): “3 of [6] and applies to all the backward shifts and all the perturbations of the identity operator constructed by Salas in [32], as well as to all the operators considered in [21], [23], [2], .”