Disjoint supercyclic powers of weighted shifts on weighted sequence spaces

Authors : Yu-Xia LIANG, Ze-Hua ZHOU

Pages : 1007-1022

Doi:10.3906/mat-1308-14

View : 15 | Download : 6

Publication Date : 0000-00-00

Article Type : Research Paper

Abstract :We characterize the disjoint supercyclicity of finitely many different powers of weighted shifts acting on the weighted sequence spaces l2insert ignore into journalissuearticles values(N,w);, c0insert ignore into journalissuearticles values(N,w); , and l2insert ignore into journalissuearticles values(Z,w);, c0insert ignore into journalissuearticles values(Z,w);, where w=insert ignore into journalissuearticles values(wi);i is a positive weight sequence satisfying wi \geq 1 for every i\in N insert ignore into journalissuearticles values(or i\in Z);.
Keywords : Disjoint supercyclic, unilateral shifts, bilateral shifts, weighted sequence spaces