Open Access
Fall 2009 Some dynamical properties for linear operators
Bingzhe Hou, Geng Tian, Luoyi Shi
Illinois J. Math. 53(3): 857-864 (Fall 2009). DOI: 10.1215/ijm/1286212919

Abstract

In this article, some dynamical properties for continuous linear operators are studied. We investigate that neither normal operators nor compact operators can be Li–Yorke chaotic. In addition, we show that a small compact perturbation of the unit operator could be distributionally chaotic.

Citation

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Bingzhe Hou. Geng Tian. Luoyi Shi. "Some dynamical properties for linear operators." Illinois J. Math. 53 (3) 857 - 864, Fall 2009. https://doi.org/10.1215/ijm/1286212919

Information

Published: Fall 2009
First available in Project Euclid: 4 October 2010

zbMATH: 1222.47042
MathSciNet: MR2727358
Digital Object Identifier: 10.1215/ijm/1286212919

Subjects:
Primary: 47B37 , 47B99
Secondary: 37B99 , 54H20‎

Rights: Copyright © 2009 University of Illinois at Urbana-Champaign

Vol.53 • No. 3 • Fall 2009
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