TY - JOUR
T1 - Some Remarks on Distributional Chaos for Linear Operators
AU - Tian , Geng
AU - Hou , Bingzhe
JO - Communications in Mathematical Research 
VL - 4
SP - 307
EP - 314
PY - 2021
DA - 2021/05
SN - 27
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/cmr/19075.html
KW - distributional chaos, norm-unimodality, similarity, spectrum, nest algebra.
AB - <p style="text-align: justify;">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.</p>