Shadowing in actions of some Abelian groups
Volume 179 / 2003
Fundamenta Mathematicae 179 (2003), 83-96
MSC: 37C50, 22F05.
DOI: 10.4064/fm179-1-7
Abstract
We study shadowing properties of continuous actions of the groups ${\mathbb Z}^p$ and ${\mathbb Z}^p\times {\mathbb R}^p$. Necessary and sufficient conditions are given under which a linear action of ${\mathbb Z}^p$ on ${\mathbb C}^m$ has a Lipschitz shadowing property.
