@Article{CMR-27-307, author = {Tian , Geng and Hou , Bingzhe}, title = {Some Remarks on Distributional Chaos for Linear Operators}, journal = {Communications in Mathematical Research }, year = {2021}, volume = {27}, number = {4}, pages = {307--314}, abstract = {

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 sufficient and necessary condition of distributional chaos for a class of operators, which contains unilateral backward weighted shift operators.

}, issn = {2707-8523}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cmr/19075.html} }