• Title/Summary/Keyword: Weakly almost periodic flow

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SOME DYNAMICAL PROPERTIES OF A WEAKLY ALMOST PERIODIC FLOW

  • Song, Hyung-Soo
    • Communications of the Korean Mathematical Society
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    • v.13 no.1
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    • pp.123-129
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    • 1998
  • In this paper, we study some dynamical properties of a weakly almost periodic flow. In particular we get, in a weakly almost periodic flow (X,T), the groups I and A(I) of all automorphisms of I are isomorphic, where E(X) is the enveloping semigroup of (X,T) and I is the minimal right ideal in E(X).

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ON CHARACTERISTIC 0 AND WEAKLY ALMOST PERIODIC FLOWS

  • Song, Hyungsoo
    • Korean Journal of Mathematics
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    • v.11 no.2
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    • pp.161-167
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    • 2003
  • The purpose of this paper is to study and characterize the notions of characteristic 0 and weakly almost periodicity in flows. In particular, we give sufficient conditions for the weakly almost periodic flow to be almost periodic.

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PROXIMAL AND DISTAL HOMOMORPHISMS OF FLOWS

  • Song, Hyungsoo
    • Korean Journal of Mathematics
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    • v.13 no.2
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    • pp.235-239
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    • 2005
  • In this paper we study some characterizations of proximal, distal and almost one to one homomorphisms of flows. In particular we show that if the almost one to one proximal extension of a minimal flow is weakly almost periodic, then it is minimal.

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