%0 Journal Article %T Bohr conditions and almost periodic means in quasi-complete spaces %J Journal of the Iranian Mathematical Society %I Iranian Mathematical Society %Z 2717-1612 %A Zhu, Y. %A Sangani Monfared, M. %D 2022 %\ 07/01/2022 %V 3 %N 2 %P 61-73 %! Bohr conditions and almost periodic means in quasi-complete spaces %K Almost periodic functions %K topological groups %K quasi-complete spaces %K vector-valued functions %K almost periodic mean %R 10.30504/jims.2023.366124.1077 %X We study Bohr conditions for functions on topological groups taking values in locally convex spaces. We show that functions satisfying Bohr conditions are uniformly continuous. We show that in quasi-complete spaces, Bohr conditions are equivalent to Bochner's characterizations of almost periodicity. We prove the existence of invariant mean for almost periodic functions with values in quasi-complete spaces. %U https://jims.ims.ir/article_164823_f1d04be8deb56d41d8960766d031a7e5.pdf