Disjoint and common hypercyclic algebras.

Autor: Bayart, Frédéric, Costa Jr., Fernando, Papathanasiou, Dimitris
Zdroj: Israel Journal of Mathematics; Oct2022, Vol. 250 Issue 1, p211-264, 54p
Abstrakt: Over time the concept of hypercyclicity has been explored in different manners and contexts, gaining new forms and applications. In particular when the space has an adjacent structure, we can always look for sets of hypercyclic vectors compatible with that framework. In this paper we deal with hypercyclic operators acting on Fréchet sequence algebras and give criteria for the existence of common and disjoint hypercyclic algebras. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index