Distributional chaos for strongly continuous semigroups of operators

Autores UPV
Año
Revista COMMUNICATIONS ON PURE AND APPLIED ANALYSIS

Abstract

Distributional chaos for strongly continuous semigroups is studied and characterized. It is shown to be equivalent to the existence of a distributionally irregular vector. Finally, a sufficient condition for distributional chaos on the point spectrum of the generator of the semigroup is presented. An application to the semigroup generated in by a translation of the Ornstein-Uhlenbeck operator is also given.