Lifting of locally almost periodicity and some related properties | Zendy

Zubiao Xiao | Zendy

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Lifting of locally almost periodicity and some related properties

Author(s) -

Zubiao Xiao

Publication year - 2019

Publication title -

proceedings of the american mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.968

H-Index - 84

eISSN - 1088-6826

pISSN - 0002-9939

DOI - 10.1090/proc/14671

Subject(s) - equicontinuity , mathematics , action (physics) , pure mathematics , property (philosophy) , work (physics) , mathematical analysis , discrete mathematics , philosophy , physics , epistemology , quantum mechanics , mechanical engineering , engineering

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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