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).

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

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