Generalized weakly demicompact and $S$-demicompact linear relations and their spectral properties
UDC 517.9 We extend the concept of generalized weakly demicompact and  relatively weakly demicompact operators on linear relations and present some outstanding results. Moreover, we address the theory of Fredholm and upper semi-Fredholm relations attempting to establish a connection wit...
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| Datum: | 2023 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
2023
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/7194 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512627784941568 |
|---|---|
| author | Fakhfakh, Majed Jeribi, Aref Fakhfakh, Majed Jeribi, Aref |
| author_facet | Fakhfakh, Majed Jeribi, Aref Fakhfakh, Majed Jeribi, Aref |
| author_sort | Fakhfakh, Majed |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2024-06-19T00:34:33Z |
| description | UDC 517.9
We extend the concept of generalized weakly demicompact and  relatively weakly demicompact operators on linear relations and present some outstanding results. Moreover, we address the theory of Fredholm and upper semi-Fredholm relations attempting to establish a connection with them. |
| doi_str_mv | 10.3842/umzh.v75i8.7194 |
| first_indexed | 2026-03-24T03:31:48Z |
| format | Article |
| fulltext | |
| id | umjimathkievua-article-7194 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-03-24T03:31:48Z |
| publishDate | 2023 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | |
| spelling | umjimathkievua-article-71942024-06-19T00:34:33Z Generalized weakly demicompact and $S$-demicompact linear relations and their spectral properties Generalized weakly demicompact and $S$-demicompact linear relations and their spectral properties Fakhfakh, Majed Jeribi, Aref Fakhfakh, Majed Jeribi, Aref Linear relation, weakly closed linear relation, weakly demicompact relation, Riesz relation, generalized weakly demicompact relation, generalized weakly S-demicompact relation, Fredholm and semi-Fredholm relations. UDC 517.9 We extend the concept of generalized weakly demicompact and  relatively weakly demicompact operators on linear relations and present some outstanding results. Moreover, we address the theory of Fredholm and upper semi-Fredholm relations attempting to establish a connection with them. УДК 517.9 Узагальнені слабко демікомпактні та $S$-демікомпактні лінійні зв'язки та їхні спектральні властивості Розширено поняття узагальнених слабко демікомпактних і відносно слабко демікомпактних операторів на лінійних відношеннях та наведено деякі видатні результати. Крім того, розглянуто теорію фредгольмових та верхніх напівфредгольмових співвідношень з метою встановити з ними зв’язок. Institute of Mathematics, NAS of Ukraine 2023-08-30 Article Article https://umj.imath.kiev.ua/index.php/umj/article/view/7194 10.3842/umzh.v75i8.7194 Ukrains’kyi Matematychnyi Zhurnal; Vol. 75 No. 8 (2023); 1119 - 1132 Український математичний журнал; Том 75 № 8 (2023); 1119 - 1132 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/7194/9742 Copyright (c) 2023 majed fakhfakh |
| spellingShingle | Fakhfakh, Majed Jeribi, Aref Fakhfakh, Majed Jeribi, Aref Generalized weakly demicompact and $S$-demicompact linear relations and their spectral properties |
| title | Generalized weakly demicompact and $S$-demicompact linear relations and their spectral properties |
| title_alt | Generalized weakly demicompact and $S$-demicompact linear relations and their spectral properties |
| title_full | Generalized weakly demicompact and $S$-demicompact linear relations and their spectral properties |
| title_fullStr | Generalized weakly demicompact and $S$-demicompact linear relations and their spectral properties |
| title_full_unstemmed | Generalized weakly demicompact and $S$-demicompact linear relations and their spectral properties |
| title_short | Generalized weakly demicompact and $S$-demicompact linear relations and their spectral properties |
| title_sort | generalized weakly demicompact and $s$-demicompact linear relations and their spectral properties |
| topic_facet | Linear relation weakly closed linear relation weakly demicompact relation Riesz relation generalized weakly demicompact relation generalized weakly S-demicompact relation Fredholm and semi-Fredholm relations. |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/7194 |
| work_keys_str_mv | AT fakhfakhmajed generalizedweaklydemicompactandsdemicompactlinearrelationsandtheirspectralproperties AT jeribiaref generalizedweaklydemicompactandsdemicompactlinearrelationsandtheirspectralproperties AT fakhfakhmajed generalizedweaklydemicompactandsdemicompactlinearrelationsandtheirspectralproperties AT jeribiaref generalizedweaklydemicompactandsdemicompactlinearrelationsandtheirspectralproperties |