Fredholm theory for demicompact linear relations
We first attempt to determine conditions on a linear relation T such that μT becomes a demicompact linear relation for each μ ∈ [0,1)(see Theorems 2.4 and 2.5). Second, we display some results on Fredholm and upper semi-Fredholm linear relations involving a demicompact one(see Theorems 3.1 and 3.2)....
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Universitat Politècnica de València
2022-10-01
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| Series: | Applied General Topology |
| Subjects: | |
| Online Access: | https://polipapers.upv.es/index.php/AGT/article/view/16940 |
| _version_ | 1811205497412386816 |
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| author | Aymen Ammar Slim Fakhfakh Aref Jeribi |
| author_facet | Aymen Ammar Slim Fakhfakh Aref Jeribi |
| author_sort | Aymen Ammar |
| collection | DOAJ |
| description | We first attempt to determine conditions on a linear relation T such that μT becomes a demicompact linear relation for each μ ∈ [0,1)(see Theorems 2.4 and 2.5). Second, we display some results on Fredholm and upper semi-Fredholm linear relations involving a demicompact one(see Theorems 3.1 and 3.2). Finally, we provide some results in which a block matrix of linear relations becomes a demicompact block matrix of linear relations (see Theorems 4.2 and 4.3). |
| first_indexed | 2024-04-12T03:32:44Z |
| format | Article |
| id | doaj.art-cde195d5f31a4102b44ff0bfdff68640 |
| institution | Directory Open Access Journal |
| issn | 1576-9402 1989-4147 |
| language | English |
| last_indexed | 2024-04-12T03:32:44Z |
| publishDate | 2022-10-01 |
| publisher | Universitat Politècnica de València |
| record_format | Article |
| series | Applied General Topology |
| spelling | doaj.art-cde195d5f31a4102b44ff0bfdff686402022-12-22T03:49:31ZengUniversitat Politècnica de ValènciaApplied General Topology1576-94021989-41472022-10-0123242543610.4995/agt.2022.1694013853Fredholm theory for demicompact linear relationsAymen Ammar0Slim Fakhfakh1Aref Jeribi2University of SfaxUniversity of SfaxUniversity of SfaxWe first attempt to determine conditions on a linear relation T such that μT becomes a demicompact linear relation for each μ ∈ [0,1)(see Theorems 2.4 and 2.5). Second, we display some results on Fredholm and upper semi-Fredholm linear relations involving a demicompact one(see Theorems 3.1 and 3.2). Finally, we provide some results in which a block matrix of linear relations becomes a demicompact block matrix of linear relations (see Theorems 4.2 and 4.3).https://polipapers.upv.es/index.php/AGT/article/view/16940demicompact linear relationsfredholm theoryblock matrix |
| spellingShingle | Aymen Ammar Slim Fakhfakh Aref Jeribi Fredholm theory for demicompact linear relations Applied General Topology demicompact linear relations fredholm theory block matrix |
| title | Fredholm theory for demicompact linear relations |
| title_full | Fredholm theory for demicompact linear relations |
| title_fullStr | Fredholm theory for demicompact linear relations |
| title_full_unstemmed | Fredholm theory for demicompact linear relations |
| title_short | Fredholm theory for demicompact linear relations |
| title_sort | fredholm theory for demicompact linear relations |
| topic | demicompact linear relations fredholm theory block matrix |
| url | https://polipapers.upv.es/index.php/AGT/article/view/16940 |
| work_keys_str_mv | AT aymenammar fredholmtheoryfordemicompactlinearrelations AT slimfakhfakh fredholmtheoryfordemicompactlinearrelations AT arefjeribi fredholmtheoryfordemicompactlinearrelations |