Some dynamical properties for linear operators
Hou, Bingzhe ; Tian, Geng ; Shi, Luoyi
Illinois J. Math., Tome 53 (2009) no. 1, p. 857-864 / Harvested from Project Euclid
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.
Publié le : 2009-05-15
Classification:  47B37,  47B99,  54H20,  37B99
@article{1286212919,
     author = {Hou, Bingzhe and Tian, Geng and Shi, Luoyi},
     title = {Some dynamical properties for linear operators},
     journal = {Illinois J. Math.},
     volume = {53},
     number = {1},
     year = {2009},
     pages = { 857-864},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1286212919}
}
Hou, Bingzhe; Tian, Geng; Shi, Luoyi. Some dynamical properties for linear operators. Illinois J. Math., Tome 53 (2009) no. 1, pp.  857-864. http://gdmltest.u-ga.fr/item/1286212919/