Some characterizations of surjective operators on banach lattices
The concepts of compact and weakly compact operators on Banach spaces are considered and investigated in several papers. In this paper, taking idea from this notations, we consider the concept surjective compact and weakly compact operators on Banach lattices. In particular, we characterize Banach l...
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| Format: | Article |
| Language: | English |
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University of Mohaghegh Ardabili
2018-12-01
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| Series: | Journal of Hyperstructures |
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| Online Access: | https://jhs.uma.ac.ir/article_2699_18d2453638310dbd892e364d41cdffcb.pdf |
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| _version_ | 1850117312487620608 |
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| author | Akbar Bahramnezhad Kazem Haghnejad Azar |
| author_facet | Akbar Bahramnezhad Kazem Haghnejad Azar |
| author_sort | Akbar Bahramnezhad |
| collection | DOAJ |
| description | The concepts of compact and weakly compact operators on Banach spaces are considered and investigated in several papers. In this paper, taking idea from this notations, we consider the concept surjective compact and weakly compact operators on Banach lattices. In particular, we characterize Banach lattices on which operators must be surjective. |
| format | Article |
| id | doaj-art-295c3deeeb3741ecb92dee5a5bb95ac0 |
| institution | OA Journals |
| issn | 2251-8436 2322-1666 |
| language | English |
| publishDate | 2018-12-01 |
| publisher | University of Mohaghegh Ardabili |
| record_format | Article |
| series | Journal of Hyperstructures |
| spelling | doaj-art-295c3deeeb3741ecb92dee5a5bb95ac02025-08-20T02:36:07ZengUniversity of Mohaghegh ArdabiliJournal of Hyperstructures2251-84362322-16662018-12-017217418210.22098/jhs.2018.26992699Some characterizations of surjective operators on banach latticesAkbar Bahramnezhad0Kazem Haghnejad Azar1Department of Mathematics, University of Mohaghegh Ardabili, Ardabil,IranUniversity of Mohghegh ArdabiliThe concepts of compact and weakly compact operators on Banach spaces are considered and investigated in several papers. In this paper, taking idea from this notations, we consider the concept surjective compact and weakly compact operators on Banach lattices. In particular, we characterize Banach lattices on which operators must be surjective.https://jhs.uma.ac.ir/article_2699_18d2453638310dbd892e364d41cdffcb.pdfbanach latticesemi-compact operatordunford-pettis operatorl- and mweakly compact operator |
| spellingShingle | Akbar Bahramnezhad Kazem Haghnejad Azar Some characterizations of surjective operators on banach lattices Journal of Hyperstructures banach lattice semi-compact operator dunford-pettis operator l- and mweakly compact operator |
| title | Some characterizations of surjective operators on banach lattices |
| title_full | Some characterizations of surjective operators on banach lattices |
| title_fullStr | Some characterizations of surjective operators on banach lattices |
| title_full_unstemmed | Some characterizations of surjective operators on banach lattices |
| title_short | Some characterizations of surjective operators on banach lattices |
| title_sort | some characterizations of surjective operators on banach lattices |
| topic | banach lattice semi-compact operator dunford-pettis operator l- and mweakly compact operator |
| url | https://jhs.uma.ac.ir/article_2699_18d2453638310dbd892e364d41cdffcb.pdf |
| work_keys_str_mv | AT akbarbahramnezhad somecharacterizationsofsurjectiveoperatorsonbanachlattices AT kazemhaghnejadazar somecharacterizationsofsurjectiveoperatorsonbanachlattices |