Li–Yorke and distributional chaos for weighted shifts on directed trees
Abstract
We study Li–Yorke and distributional chaos for weighted shifts on directed trees. We give a complete characterization of Li–Yorke chaotic weighted shifts on rooted directed trees. Also we show some sufficient conditions for distributional chaos of these operators. Our results generalize the previous results on Li–Yorke and distributionally chaotic unilateral and bilateral weighted shifts. It also has relations with some papers in which other important dynamical properties were investigated for weighted shifts on trees.
Fields of Study & Subjects
Holomorphic and Operator Theory
Mathematical Dynamics and Fractals
Advanced Banach Space Theory
Publication details
- Journal / source
- Portugaliae Mathematica
- Volume
- 83
- Issue
- 3
- Pages
- 367–383
- Publication date
- 27 February 2026
- Language
- EN