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arXiv · 1904.09826

Invariance of distributional chaos for backward shifts

Xinxing Wu·Yang Luo
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Abstract

A sufficient and necessary condition ensuring that the backward shift operator on the K\"{o}the sequence space admits an invariant distributionally $\varepsilon$-scrambled set for some $\varepsilon>0$ is obtained, improving the main results in [F. Mart\'{\i}nez-Gim\'{e}nez, P. Oprocha, A. Peris, J. Math. Anal. Appl., {\bf 351} (2009), 607--615].

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Xinxing Wu, Yang Luo. 2019-04-22. Invariance of distributional chaos for backward shifts. https://arxiv.org/abs/1904.09826

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