Scalarly weakly almost periodic distal representations are strongly almost periodic
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Abstract:
Kadets and Lyubich have shown that a weakly almost periodic representation of a topological group on a Banach space has the property that a vector with almost periodic coefficients is almost periodic. In this paper we obtain the analogous result for distal representations of semigroups on quasi-complete locally convex spaces, removing the condition that the representation be weakly almost periodic and requiring only that the coefficients of the representation be weakly almost periodic.References
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Additional Information
- H. D. Junghenn
- Affiliation: Department of Mathematics, The George Washington University, Washington, D.C. 20052
- MR Author ID: 96315
- Received by editor(s): January 28, 2020
- Received by editor(s) in revised form: October 17, 2020
- Published electronically: December 31, 2020
- Communicated by: Dmitriy Bilyk
- © Copyright 2020 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 149 (2021), 953-960
- MSC (2020): Primary 20M30, 28B05, 43A05, 43A60, 47D03, 60B15
- DOI: https://doi.org/10.1090/proc/15388
- MathSciNet review: 4211854