KCI등재
학술저널
A NOTE ON CHAIN TRANSITIVITY OF LINEAR DYNAMICAL SYSTEMS
A NOTE ON CHAIN TRANSITIVITY OF LINEAR DYNAMICAL SYSTEMS
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 36, No. 2
- : KCI등재
- 2023.05
- 99 - 105 (7 pages)
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.
1. Introduction and preliminaries
2. Proof of Theorem 1.1
References