2022/03/03 by Marat V. Markin, Gabriel Martinez Lazaro, Markin, Marat V. +3
Mathematics · #Mathematical Analysis and Transform Methods #Mathematical Dynamics and Fractals #Spectral Theory in Mathematical Physics
paper · pdf · doi:10.48550/arxiv.2203.02032
We study the chaoticity of bounded and unbounded weighted backward shifts in the space c0(ℕ) of vanishing sequences via a novel straightforward approach based on a newly found sufficient condition for linear chaos and show that their extensions to the space c(ℕ) of convergent sequences are not even hypercyclic. Thus, we furnish bounded and unbounded linear chaotic operators in c(ℕ) in a different way: as conjugates to the weighted backward shifts in c0(ℤ+) via a homeomorphic isomorphism between the two spaces.