충청수학회지 (Journal of the Chungcheong Mathematical Society)

  • 제36권2호
  • /
  • Pages.99-105
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  • 2023
  • /
  • 1226-3524(pISSN)
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  • 2383-6245(eISSN)
충청수학회 (The Chungcheong Mathematical Society)
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A NOTE ON CHAIN TRANSITIVITY OF LINEAR DYNAMICAL SYSTEMS

  • Namjip Koo (Department of Mathematics Chungnam National University) ;
  • Hyunhee Lee (Department of Mathematics Chungnam National University)
  • 투고 : 2023.01.20
  • 심사 : 2023.04.26
  • 발행 : 2023.05.30
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초록

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.

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과제정보

This work was supported by the National Research Foundations of Korea (NRF) grant funded by the Korea government(MSIT)(No.2020R1F 1A1A01068032). The second was supported by the National Research Foundations of Korea(NRF) grant funded by the Korea government(MSIT) (No.2021R1A6A3A13039168).

참고문헌

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