Disjoint supercyclic powers of weighted shifts on weighted sequence spaces

Authors

YU-XIA LIANG
ZE-HUA ZHOU

Abstract

We characterize the disjoint supercyclicity of finitely many different powers of weighted shifts acting on the weighted sequence spaces l^2(N,w), c_0(N,w) , and l^2(Z,w), c_0(Z,w), where w=(w_i)_i is a positive weight sequence satisfying w_i \geq 1 for every i\in N (or i\in Z).

DOI

10.3906/mat-1308-14

Keywords

Disjoint supercyclic, unilateral shifts, bilateral shifts, weighted sequence spaces

First Page

1007

Last Page

1022

Recommended Citation

LIANG, YU-XIA and ZHOU, ZE-HUA (2014) "Disjoint supercyclic powers of weighted shifts on weighted sequence spaces," Turkish Journal of Mathematics: Vol. 38: No. 6, Article 6. https://doi.org/10.3906/mat-1308-14
Available at: https://journals.tubitak.gov.tr/math/vol38/iss6/6