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.
Saved in:
| Date: | 1997 |
|---|---|
| Main Authors: | , |
| 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 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: |  |
Institution
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511221876260864 |
|---|---|
| author | Kadets, M. I. Кадец, M. И. Кадец, M. И. |
| author_facet | Kadets, M. I. Кадец, M. И. Кадец, M. И. |
| author_sort | Kadets, M. I. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:23:18Z |
| description | 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. |
| first_indexed | 2026-03-24T03:09:27Z |
| format | Article |
| fulltext |
0047
0048
0049
0050
|
| id | umjimathkievua-article-5026 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:09:27Z |
| publishDate | 1997 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/c3/76a09294a0bf04cc0eb20cdba00cc2c3.pdf |
| spelling | umjimathkievua-article-50262020-03-18T21:23:18Z A sufficient condition for strong almost-periodicity of scalarly almost periodic representations of the group of real numbers Достаточное условие сильной почти периодичности скалярно почти периодических представлений группы вещественных чисел Kadets, M. I. Кадец, M. И. Кадец, M. И. 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. Доведено теорему про те, що якщо кожний сепарабельний підпростір Y банахового простору X має сепарабельне слабке секвенційие замикання в Y **, то кожна скалярно майже періодична група, що діє в X, є сильно майже періодичною. Institute of Mathematics, NAS of Ukraine 1997-04-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5026 Ukrains’kyi Matematychnyi Zhurnal; Vol. 49 No. 4 (1997); 523–526 Український математичний журнал; Том 49 № 4 (1997); 523–526 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5026/6751 https://umj.imath.kiev.ua/index.php/umj/article/view/5026/6752 Copyright (c) 1997 Kadets M. I. |
| spellingShingle | Kadets, M. I. Кадец, M. И. Кадец, M. И. A sufficient condition for strong almost-periodicity of scalarly almost periodic representations of the group of real numbers |
| title | A sufficient condition for strong almost-periodicity of scalarly almost periodic representations of the group of real numbers |
| title_alt | Достаточное условие сильной почти периодичности скалярно почти периодических представлений группы вещественных чисел |
| title_full | A sufficient condition for strong almost-periodicity of scalarly almost periodic representations of the group of real numbers |
| title_fullStr | A sufficient condition for strong almost-periodicity of scalarly almost periodic representations of the group of real numbers |
| title_full_unstemmed | A sufficient condition for strong almost-periodicity of scalarly almost periodic representations of the group of real numbers |
| title_short | A sufficient condition for strong almost-periodicity of scalarly almost periodic representations of the group of real numbers |
| title_sort | sufficient condition for strong almost-periodicity of scalarly almost periodic representations of the group of real numbers |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5026 |
| work_keys_str_mv | AT kadetsmi asufficientconditionforstrongalmostperiodicityofscalarlyalmostperiodicrepresentationsofthegroupofrealnumbers AT kadecmi asufficientconditionforstrongalmostperiodicityofscalarlyalmostperiodicrepresentationsofthegroupofrealnumbers AT kadecmi asufficientconditionforstrongalmostperiodicityofscalarlyalmostperiodicrepresentationsofthegroupofrealnumbers AT kadetsmi dostatočnoeusloviesilʹnojpočtiperiodičnostiskalârnopočtiperiodičeskihpredstavlenijgruppyveŝestvennyhčisel AT kadecmi dostatočnoeusloviesilʹnojpočtiperiodičnostiskalârnopočtiperiodičeskihpredstavlenijgruppyveŝestvennyhčisel AT kadecmi dostatočnoeusloviesilʹnojpočtiperiodičnostiskalârnopočtiperiodičeskihpredstavlenijgruppyveŝestvennyhčisel AT kadetsmi sufficientconditionforstrongalmostperiodicityofscalarlyalmostperiodicrepresentationsofthegroupofrealnumbers AT kadecmi sufficientconditionforstrongalmostperiodicityofscalarlyalmostperiodicrepresentationsofthegroupofrealnumbers AT kadecmi sufficientconditionforstrongalmostperiodicityofscalarlyalmostperiodicrepresentationsofthegroupofrealnumbers |