Abstract
In this paper, we investigate properties, characterizations and compactifications of almost periodic functions with values in a topological vector space. The techniques applied are based essentially on an analogue of a representation in Pettis-integration. Applications of the results to flows are indicated.
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Acknowledgements
The authors are grateful to the referee for his/her very careful reading of the paper and valuable suggestions, particularly for recommending the use of Lemma 4.12 in the proof of Proposition 5.6. This paper is dedicated to the memory of Karim Saeidi.
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Communicated by Anthony To-Ming Lau.
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Amini, F., Saeidi, S. Pettis-integration approach for characterizing almost periodic functions and flows. Semigroup Forum 107, 1–16 (2023). https://doi.org/10.1007/s00233-023-10368-9
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DOI: https://doi.org/10.1007/s00233-023-10368-9