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arXiv · 1804.02194

Disjoint hypercyclic weighted pseudo-shift operators generated by different shifts

Ya Wang·Ze-Hua Zhou
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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 $\ell^2(\mathbb{Z,\mathcal{K}})$ are investigated as special cases.

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Ya Wang, Ze-Hua Zhou. 2018-04-06. Disjoint hypercyclic weighted pseudo-shift operators generated by different shifts. https://arxiv.org/abs/1804.02194

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