Some Remarks on Distributional Chaos for Linear Operators

摘要

In this paper,we consider some properties for bounded linear operators concerning distributional chaos.Norm-unimodality of bounded linear operators implies distributional chaos.Some properties such as similarity and spectra description for norm-unimodal operators are considered.The existence of distributional chaos in nest algebra is also proved.In addition,we obtain a su?cient and necessary condition of distributional chaos for a class of operators,which contains unilateral backward weighted shift operators.