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<p>In this paper, we obtain the dichotomy between mean equicontinuity and mean sensitivity for a sequence of bounded linear operators from a Banach space to a normed linear space. The mean Li-Yorke chaos for sequences and submultiplicative sequences of bounded linear operators are also studied. Furthermore, several criteria for mean Li-Yorke chaos are established.</p>

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Mean Li-Yorke chaos for a sequence of operators on Banach spaces

  • 期刊论文

  • 发表日期：

    2026年5月9日

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  • Jian Li,
  • Xinsheng Wang,
  • Jianjie Zhao

摘要

In this paper, we obtain the dichotomy between mean equicontinuity and mean sensitivity for a sequence of bounded linear operators from a Banach space to a normed linear space. The mean Li-Yorke chaos for sequences and submultiplicative sequences of bounded linear operators are also studied. Furthermore, several criteria for mean Li-Yorke chaos are established.