A NOTE ON CHAIN TRANSITIVITY OF LINEAR DYNAMICAL SYSTEMS

A NOTE ON CHAIN TRANSITIVITY OF LINEAR DYNAMICAL SYSTEMS

In this paper we study some topological modes of recurrent sets of linear homeomorphisms of a finite-dimensional topological vector space. More precisely, we show that there are no chain transitive linear homeomorphisms of a finite-dimensional Banach space having the shadowing property. Then, we give examples to illustrate our results.