On weak compactness of bounded sets in Banach and locally convex spaces
We investigate the compactness of one class of bounded subsets in Banach and locally convex spaces. We obtain a generalization of the Banach-Alaoglu theorem to a class of subsets that are not polars of convex balanced neighborhoods of zero.
Gespeichert in:
| Datum: | 2000 |
|---|---|
| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
2000
|
| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/4467 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
Institution
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510597015142400 |
|---|---|
| author | Kogut, P. I. Mel'nik, V. S. Когут, П. И. Мельник, В. С. Когут, П. И. Мельник, В. С. |
| author_facet | Kogut, P. I. Mel'nik, V. S. Когут, П. И. Мельник, В. С. Когут, П. И. Мельник, В. С. |
| author_sort | Kogut, P. I. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:29:37Z |
| description | We investigate the compactness of one class of bounded subsets in Banach and locally convex spaces. We obtain a generalization of the Banach-Alaoglu theorem to a class of subsets that are not polars of convex balanced neighborhoods of zero. |
| first_indexed | 2026-03-24T02:59:31Z |
| format | Article |
| fulltext |
0011
0012
0013
0014
0015
0016
0017
0018
0019
|
| id | umjimathkievua-article-4467 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T02:59:31Z |
| publishDate | 2000 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/63/06b61882636ce33e317019e421c94d63.pdf |
| spelling | umjimathkievua-article-44672020-03-18T20:29:37Z On weak compactness of bounded sets in Banach and locally convex spaces О слабой компактности ограниченных множеств в банаховых и локально выпуклых пространствах Kogut, P. I. Mel'nik, V. S. Когут, П. И. Мельник, В. С. Когут, П. И. Мельник, В. С. We investigate the compactness of one class of bounded subsets in Banach and locally convex spaces. We obtain a generalization of the Banach-Alaoglu theorem to a class of subsets that are not polars of convex balanced neighborhoods of zero. Досліджується компактність одного класу обмежених підмножин в банахових та локально опуклих просторах. Одержано узагальнення теореми Банаха-Алаоглу на клас підмножин, які не є полярами до опуклих урівноважених околів нуля. Institute of Mathematics, NAS of Ukraine 2000-06-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4467 Ukrains’kyi Matematychnyi Zhurnal; Vol. 52 No. 6 (2000); 731-739 Український математичний журнал; Том 52 № 6 (2000); 731-739 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4467/5638 https://umj.imath.kiev.ua/index.php/umj/article/view/4467/5639 Copyright (c) 2000 Kogut P. I.; Mel'nik V. S. |
| spellingShingle | Kogut, P. I. Mel'nik, V. S. Когут, П. И. Мельник, В. С. Когут, П. И. Мельник, В. С. On weak compactness of bounded sets in Banach and locally convex spaces |
| title | On weak compactness of bounded sets in Banach and locally convex spaces |
| title_alt | О слабой компактности ограниченных множеств в банаховых и локально выпуклых пространствах |
| title_full | On weak compactness of bounded sets in Banach and locally convex spaces |
| title_fullStr | On weak compactness of bounded sets in Banach and locally convex spaces |
| title_full_unstemmed | On weak compactness of bounded sets in Banach and locally convex spaces |
| title_short | On weak compactness of bounded sets in Banach and locally convex spaces |
| title_sort | on weak compactness of bounded sets in banach and locally convex spaces |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4467 |
| work_keys_str_mv | AT kogutpi onweakcompactnessofboundedsetsinbanachandlocallyconvexspaces AT mel039nikvs onweakcompactnessofboundedsetsinbanachandlocallyconvexspaces AT kogutpi onweakcompactnessofboundedsetsinbanachandlocallyconvexspaces AT melʹnikvs onweakcompactnessofboundedsetsinbanachandlocallyconvexspaces AT kogutpi onweakcompactnessofboundedsetsinbanachandlocallyconvexspaces AT melʹnikvs onweakcompactnessofboundedsetsinbanachandlocallyconvexspaces AT kogutpi oslabojkompaktnostiograničennyhmnožestvvbanahovyhilokalʹnovypuklyhprostranstvah AT mel039nikvs oslabojkompaktnostiograničennyhmnožestvvbanahovyhilokalʹnovypuklyhprostranstvah AT kogutpi oslabojkompaktnostiograničennyhmnožestvvbanahovyhilokalʹnovypuklyhprostranstvah AT melʹnikvs oslabojkompaktnostiograničennyhmnožestvvbanahovyhilokalʹnovypuklyhprostranstvah AT kogutpi oslabojkompaktnostiograničennyhmnožestvvbanahovyhilokalʹnovypuklyhprostranstvah AT melʹnikvs oslabojkompaktnostiograničennyhmnožestvvbanahovyhilokalʹnovypuklyhprostranstvah |