2026/03/31 by João V. A. Pinto · 1 citation
Mathematics · #math.FA #math.DS #msc:47A16 #msc:47B33 #msc:37B05. #msc:46E10 #msc:46E15
paper · pdf · doi:10.1016/j.jmaa.2026.130895
22 pages
arxiv created 2026/04/06 · arxiv updated 2026/07/31
In this paper, we give characterizations of distributional chaos and mean Li-Yorke chaos for weighted backward shifts acting on general Fréchet sequence spaces. As an application, we derive criteria for these two types of chaos in the setting of Köthe sequence spaces λp(A,J) for p ∈ \0\∪ [1, ∞) and J=ℕ or J=ℤ.