Affiliation:
1. School of Science, Henan Institute of Technology, Xinxiang, China
Abstract
In this paper, we study the bilateral upper-left shifts B on the weighted double sequence spaces Lp(Z, v) and characterize the hypercyclicity and supercyclicity of B : Lp(Z, v) ? Lp(Z, v) based on Salas?s previous results about the bilateral weighted backward shifts acting on l2(Z). Furthermore, we construct a special weight sequence such that B and the weighted bilateral upper-left shifts Bw are conjugate, and we generalize the results to Bw : Lp(Z) ? Lp(Z) via this conjugacy. Finally, we investigate the chaoticity of the bilateral upper-left shifts.
Publisher
National Library of Serbia
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