%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