Weakly Almost Periodic Functions in Topological Vector Spaces

Abstract

Harald Bohr was the founder of the theory of almost periodicity. The theory of almost periodic functions taking values in locally convex spaces was studied by G.M. N'Guérékata in his papers [9, 10]. Khan and Alsulami [12] studied the concept of almost periodicity in the general topological vector spaces. In this paper, we pursue their study further and extend the concept of weakly almost periodicity to topological vector spaces having non-trivial duals.