Abstract
During the last ten some years, many research works were devoted to the chaotic behavior of the weighted shift operator on the Kothe sequence space. In this note, a sufficient condition ensuring that the weighted shift operator Bwn: λp(A) → λp(A) defined on the Kothe sequence space λp(A) exhibits distributional ɛ-chaos for any 0 < ɛ < diamλp(A) and any n ∈ ℕ is obtained. Under this assumption, the principal measure of Bwn is equal to 1. In particular, every Devaney chaotic shift operator exhibits distributional ɛ-chaos for any 0 < ɛ < diam λp(A).
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