A sufficient condition for strong almost-periodicity of scalarly almost periodic representations of the group of real numbers

• Datum: 1997
• Hauptverfasser: Kadets, M. I., Кадец, M. И.
• Format: Artikel
• Sprache: Russisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1997
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/5026
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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.