SOME DYNAMICAL PROPERTIES FOR LINEAR OPERATORS

作者:Hou Bingzhe*; Tian Geng; Shi Luoyi
来源:Illinois Journal of Mathematics, 2009, 53(3): 857-864.

摘要

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.