Weighted Composition Operators Between Extended Lipschitz Algebras on Compact Metric Spaces
In this paper, we provide a complete description of weighted composition operators between extended Lipschitz algebras on compact metric spaces. We give necessary and sufficient conditions for the injectivity and the sujectivity of these operators. We also obtain some sufficient conditions and some...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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University of Maragheh
2020-07-01
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| Series: | Sahand Communications in Mathematical Analysis |
| Subjects: | |
| Online Access: | https://scma.maragheh.ac.ir/article_39952_0926650acf7986aa5514b5750bfb1a7a.pdf |
| _version_ | 1818612956984770560 |
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| author | Reyhaneh Bagheri Davood Alimohammadi |
| author_facet | Reyhaneh Bagheri Davood Alimohammadi |
| author_sort | Reyhaneh Bagheri |
| collection | DOAJ |
| description | In this paper, we provide a complete description of weighted composition operators between extended Lipschitz algebras on compact metric spaces. We give necessary and sufficient conditions for the injectivity and the sujectivity of these operators. We also obtain some sufficient conditions and some necessary conditions for a weighted composition operator between these spaces to be compact. |
| first_indexed | 2024-12-16T15:54:28Z |
| format | Article |
| id | doaj.art-380c646e58f24b14afb574a12173face |
| institution | Directory Open Access Journal |
| issn | 2322-5807 2423-3900 |
| language | English |
| last_indexed | 2024-12-16T15:54:28Z |
| publishDate | 2020-07-01 |
| publisher | University of Maragheh |
| record_format | Article |
| series | Sahand Communications in Mathematical Analysis |
| spelling | doaj.art-380c646e58f24b14afb574a12173face2022-12-21T22:25:37ZengUniversity of MaraghehSahand Communications in Mathematical Analysis2322-58072423-39002020-07-01173337010.22130/scma.2020.114523.68039952Weighted Composition Operators Between Extended Lipschitz Algebras on Compact Metric SpacesReyhaneh Bagheri0Davood Alimohammadi1Department of Mathematics, Faculty of Science, Arak University, Arak 38156-8-8349, Arak, Iran.Department of Mathematics, Faculty of Science, Arak University, Arak 38156-8-8349, Arak, Iran.In this paper, we provide a complete description of weighted composition operators between extended Lipschitz algebras on compact metric spaces. We give necessary and sufficient conditions for the injectivity and the sujectivity of these operators. We also obtain some sufficient conditions and some necessary conditions for a weighted composition operator between these spaces to be compact.https://scma.maragheh.ac.ir/article_39952_0926650acf7986aa5514b5750bfb1a7a.pdfcompact operatorextended lipschitz algebralipschitz mappingsupercontactive mappingweighted composition operator |
| spellingShingle | Reyhaneh Bagheri Davood Alimohammadi Weighted Composition Operators Between Extended Lipschitz Algebras on Compact Metric Spaces Sahand Communications in Mathematical Analysis compact operator extended lipschitz algebra lipschitz mapping supercontactive mapping weighted composition operator |
| title | Weighted Composition Operators Between Extended Lipschitz Algebras on Compact Metric Spaces |
| title_full | Weighted Composition Operators Between Extended Lipschitz Algebras on Compact Metric Spaces |
| title_fullStr | Weighted Composition Operators Between Extended Lipschitz Algebras on Compact Metric Spaces |
| title_full_unstemmed | Weighted Composition Operators Between Extended Lipschitz Algebras on Compact Metric Spaces |
| title_short | Weighted Composition Operators Between Extended Lipschitz Algebras on Compact Metric Spaces |
| title_sort | weighted composition operators between extended lipschitz algebras on compact metric spaces |
| topic | compact operator extended lipschitz algebra lipschitz mapping supercontactive mapping weighted composition operator |
| url | https://scma.maragheh.ac.ir/article_39952_0926650acf7986aa5514b5750bfb1a7a.pdf |
| work_keys_str_mv | AT reyhanehbagheri weightedcompositionoperatorsbetweenextendedlipschitzalgebrasoncompactmetricspaces AT davoodalimohammadi weightedcompositionoperatorsbetweenextendedlipschitzalgebrasoncompactmetricspaces |