Bohr conditions and almost periodic means in quasi-complete spaces

نویسندگان
Zhu, Y. ID 1
Sangani Monfared, M. ID 2

1 Department of Mathematics, ‎University of Windsor, Ontario, Canada.

2 Department of Mathematics, ‎University of Windsor, Ontario, Canada.

doi
10.30504/jims.2023.366124.1077
چکیده

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.

کلیدواژه‌ها
Almost periodic functions, topological groups, quasi-complete spaces, vector-valued functions, almost periodic mean