Scalarly weakly almost periodic distal representations are strongly almost periodic

Junghenn, H.

doi:10.1090/proc/15388

Scalarly weakly almost periodic distal representations are strongly almost periodic
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by H. D. Junghenn PDF

Proc. Amer. Math. Soc. 149 (2021), 953-960 Request permission

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.

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