Open AccessLifting 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].