A sufficient condition for strong almost-periodicity of scalarly almost periodic representations of the group of real numbers
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.
English version (Springer): Ukrainian Mathematical Journal 49 (1997), no. 4, pp 576-580.
Citation Example: Kadets M. I. A sufficient condition for strong almost-periodicity of scalarly almost periodic representations of the group of real numbers // Ukr. Mat. Zh. - 1997. - 49, № 4. - pp. 523–526.
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