Shadowing in actions of some Abelian groups

• Autorzy: Sergei Yu. Pilyugin , Sergei B. Tikhomirov
• Języki publikacji: EN

Abstrakty

EN

We study shadowing properties of continuous actions of the groups $ℤ^p$ and $ℤ^p × ℝ^p$. Necessary and sufficient conditions are given under which a linear action of $ℤ^p$ on $ℂ^m$ has a Lipschitz shadowing property.

Kategorie tematyczne

• 37C50: Approximate trajectories (pseudotrajectories, shadowing, etc.)
• 22F05: General theory of group and pseudogroup actions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2003
• Tom: 179
• Numer: 1
• Strony: 83-96

Daty

wydano

2003

Twórcy

autor

Sergei Yu. Pilyugin

• Faculty of Mathematics and Mechanics, St. Petersburg State University, Bibliotechnaya pl., 2, 198904, St. Petersburg, Russia

autor

Sergei B. Tikhomirov

• Faculty of Mathematics and Mechanics, St. Petersburg State University, Bibliotechnaya pl., 2, 198904, St. Petersburg, Russia

Identyfikatory

DOI

10.4064/fm179-1-7