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

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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Bibliographic Details
Date:1997
Main Authors: Kadets, M. I., Кадец, M. И.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 1997
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/5026
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal

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