Distributional chaos for strongly continuous semigroups of operators
type: Item
instance of: scholarly article
title: Distributional chaos for strongly continuous semigroups of operators
zbMATH Open document ID: 1287.47007
author: Xavier Barrachina
author: Angela A. Albanese
author: Elisabetta M. Mangino
author: A. Peris
published in: Communications on Pure and Applied Analysis
publication date: 2013-05-06T00:00:00Z
review text: The authors study and characterize distributional chaos for strongly continuous semigroups of bounded linear operators on Banach spaces. They show that distributional chaos is equivalent to the existence of a distributionally irregular vector. They give a sufficient condition for distributional chaos on the point spectrum of the generator of the semigroup and they also give an application to the semigroup generated in \(L^2(\mathbb{R})\) by a translation of the Ornstein-Uhlenbeck operator.
reviewed by: Antonios Manoussos
Mathematics Subject Classification ID: 47A16
Mathematics Subject Classification ID: 47D06
Mathematics Subject Classification ID: 37D45
zbMATH DE Number: 6160520
zbMATH Keywords: distributional chaos
zbMATH Keywords: \(C_0\)-semigroups
zbMATH Keywords: irregular vectors
zbMATH Keywords: hypercyclic operators
zbMATH Keywords: criterion for distributional chaos
MaRDI profile type: Publication
full work available at URL: cpaa.2013.12.2069
OpenAlex ID: W2021991178
DOI: 10.3934/CPAA.2013.12.2069
description: scientific article; zbMATH DE number 6160520