Lifting of locally almost periodicity and some related properties

Xiao, Zubiao

doi:10.1090/proc/14671

Lifting of locally almost periodicity and some related properties
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by Zubiao Xiao PDF

Proc. Amer. Math. Soc. 148 (2020), 247-261 Request permission

Abstract:

The paper is mainly concerned with the lifting of locally almost periodicity of minimal semiflows. Based on this work, we use a different method from Sacker and Sell to get the property of lifting of equicontinuity for semiflows. Moreover, in the case of a group action, we give answers to questions about lifting of almost automorphy for minimal flows posed by Sell, Shen, and Yi [Topological dynamics and differential equations, Amer. Math. Soc., Providence, RI, 1998, pp. 279–298].

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