Some properties of b-weakly compact operators on Banach lattices
In this paper we give some necessary and sufficient conditions for which each Banach lattice is space and we study some properties of b-weakly compact operators from a Banach lattice into a Banach space . We show that every weakly compact operator from a Banach lattice into a Banach space is...
| Main Authors: | , |
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| Format: | Article |
| Language: | fas |
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Kharazmi University
2021-05-01
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| Series: | پژوهشهای ریاضی |
| Subjects: | |
| Online Access: | http://mmr.khu.ac.ir/article-1-2854-en.html |
| _version_ | 1797871638763536384 |
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| author | Kazem Haghnejad azar Akbar Bahramnezhad |
| author_facet | Kazem Haghnejad azar Akbar Bahramnezhad |
| author_sort | Kazem Haghnejad azar |
| collection | DOAJ |
| description | In this paper we give some necessary and sufficient conditions for which each Banach lattice is space and we study some properties of b-weakly compact operators from a Banach lattice into a Banach space . We show that every weakly compact operator from a Banach lattice into a Banach space is b-weakly compact and give a counterexample which shows that the inverse is not true but we prove that under some conditions the inverse is holds. |
| first_indexed | 2024-04-10T00:47:01Z |
| format | Article |
| id | doaj.art-426e31d38f3e44d3af02e3a24a5ead02 |
| institution | Directory Open Access Journal |
| issn | 2588-2546 2588-2554 |
| language | fas |
| last_indexed | 2024-04-10T00:47:01Z |
| publishDate | 2021-05-01 |
| publisher | Kharazmi University |
| record_format | Article |
| series | پژوهشهای ریاضی |
| spelling | doaj.art-426e31d38f3e44d3af02e3a24a5ead022023-03-13T19:23:10ZfasKharazmi Universityپژوهشهای ریاضی2588-25462588-25542021-05-0174727734Some properties of b-weakly compact operators on Banach latticesKazem Haghnejad azar0Akbar Bahramnezhad1 Departement of Mathematics Departement of Mathematics In this paper we give some necessary and sufficient conditions for which each Banach lattice is space and we study some properties of b-weakly compact operators from a Banach lattice into a Banach space . We show that every weakly compact operator from a Banach lattice into a Banach space is b-weakly compact and give a counterexample which shows that the inverse is not true but we prove that under some conditions the inverse is holds.http://mmr.khu.ac.ir/article-1-2854-en.htmlbanach latticekb-spaceb-weakly compact operator. |
| spellingShingle | Kazem Haghnejad azar Akbar Bahramnezhad Some properties of b-weakly compact operators on Banach lattices پژوهشهای ریاضی banach lattice kb-space b-weakly compact operator. |
| title | Some properties of b-weakly compact operators on Banach lattices |
| title_full | Some properties of b-weakly compact operators on Banach lattices |
| title_fullStr | Some properties of b-weakly compact operators on Banach lattices |
| title_full_unstemmed | Some properties of b-weakly compact operators on Banach lattices |
| title_short | Some properties of b-weakly compact operators on Banach lattices |
| title_sort | some properties of b weakly compact operators on banach lattices |
| topic | banach lattice kb-space b-weakly compact operator. |
| url | http://mmr.khu.ac.ir/article-1-2854-en.html |
| work_keys_str_mv | AT kazemhaghnejadazar somepropertiesofbweaklycompactoperatorsonbanachlattices AT akbarbahramnezhad somepropertiesofbweaklycompactoperatorsonbanachlattices |