A Note on Almost Periodic Functions With Values in Locally Convex Spaces
Marko Kostić
Faculty of Technical Sciences, University of Novi Sad, Trg D. Obradovića 6, 21125 Novi Sad, Serbia
Received on February 3, 2025, revised on February 15, 2025
Accepted on February 16, 2025
Communicated by Gaston M. N'Guérékata
| Abstract. It is well known that the almost periodic functions F : Rn → Y form a vector space with the usual operations if Y is a Fréchet space. We extend this result to the almost periodic functions with values in an arbitrary locally convex space Y. | |
| Keywords: | ρ-almost periodic functions, locally convex spaces, integral equations. |
| 2010 Mathematics Subject Classification: 42A75, 43A60, 35B15. | |