Abstract
We prove the following theorem: If every separable subspace Y of a Banach space X has a separable weak sequential closure in Y **, then every scalarly almost periodic group acting in X is strongly almost periodic.
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References
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Additional information
Kharkov State Academy of Municipal Economy, Kharkov. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 49, No. 4, pp. 523–526, April, 1997.
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Kadets, M.I. A sufficient condition for strong almost-periodicity of scalarly almost periodic representations of the group of real numbers. Ukr Math J 49, 576–580 (1997). https://doi.org/10.1007/BF02487320
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DOI: https://doi.org/10.1007/BF02487320