Distributional and mean Li-Yorke chaos for weighted shifts on Fr\'echet sequence spaces
Abstract
In this paper, we give characterizations of distributional chaos and mean Li-Yorke chaos for weighted backward shifts acting on general Fr\'echet sequence spaces. As an application, we derive criteria for these two types of chaos in the setting of K\"othe sequence spaces λp(A,J) for p ∈ \0\ [1, ∞) and J=N or J=Z.
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