Disjoint hypercyclic weighted pseudo-shift operators generated by different shifts

2018/04/06 by Wang, Ya, Zhou, Ze-Hua · 1 citation
#46E15 #47A16 #47B38 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1804.02194

Abstract

Let I be a countably infinite index set, and let X be a Banach sequence space over I. In this article, we characterize disjoint hypercyclic and supercyclic weighted pseudo-shift operators on X in terms of the weights, the OP-basis, and the shift mappings on I. Also, the shifts on weighted L^p spaces of a directed tree and the operator weighted shifts on ℓ²(\mathbbZ,K) are investigated as special cases.

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• Disjoint supercyclicity in Banach algebras

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