Journals / Turkish Journal of Mathematics / 2014 / Cilt: 38 - Sayı: 6
Disjoint supercyclic powers of weighted shifts on weighted sequence spaces
- Pages
- 1007–1022
- DOI
- —
Abstract
We characterize the disjoint supercyclicity of finitely many different powers of weighted shifts acting on the weighted sequence spaces l2(N,w), c0(N,w) , and l2(Z,w), c0(Z,w), where w=(wi)i is a positive weight sequence satisfying wi \geq 1 for every i\in N (or i\in Z).
Özet
We characterize the disjoint supercyclicity of finitely many different powers of weighted shifts acting on the weighted sequence spaces l2(N,w), c0(N,w) , and l2(Z,w), c0(Z,w), where w=(wi)i is a positive weight sequence satisfying wi \geq 1 for every i\in N (or i\in Z).