Asymptotic Almost Periodic Functions with Range in a Topological Vector Space
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The notion of asymptotic almost periodicity was…first introduced by Fréchet in 1941 in the case of…finite dimensional range spaces. Later, its extension to the case of Banach range spaces and locally convex range spaces has been considered by several authors. In this paper, we have generalized the concept of asymptotic almost periodicity to the case where the range space is a general topological vector space, not necessarily locally convex. Our results thus widen the scope of applications of asymptotic almost periodicity.
- King Abdulaziz University Saudi Arabia
Almost periodic functions on groups and semigroups and their generalizations (recurrent functions, distal functions, etc.); almost automorphic functions, Spaces of vector- and operator-valued functions, QA1-939, Mathematics
Almost periodic functions on groups and semigroups and their generalizations (recurrent functions, distal functions, etc.); almost automorphic functions, Spaces of vector- and operator-valued functions, QA1-939, Mathematics
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