Year: 2011
Author: Geng Tian, Bingzhe Hou
Communications in Mathematical Research , Vol. 27 (2011), Iss. 4 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2011-CMR-19075
Communications in Mathematical Research , Vol. 27 (2011), Iss. 4 : pp. 307–314
Published online: 2011-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 8
Keywords: distributional chaos norm-unimodality similarity spectrum nest algebra.