Iranian Mathematical SocietyJournal of the Iranian Mathematical Society2717-16123220220701Bohr conditions and almost periodic means in quasi-complete spaces617316482310.30504/jims.2023.366124.1077ENY. ZhuDepartment of Mathematics, â€ŽUniversity of Windsor, Ontario, Canada.M. Sangani MonfaredDepartment of Mathematics, â€ŽUniversity of Windsor, Ontario, Canada.Journal Article20221017We 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.https://jims.ims.ir/article_164823_f1d04be8deb56d41d8960766d031a7e5.pdf