A study on Copson operator and its associated sequence space
Abstract In this research, we investigate two types of Copson matrices, the generalized Copson matrix and the Copson matrix of order n, and their associated sequence spaces generated by these matrices. We also investigate the topological properties, inclusions, and dual spaces of these new Banach sp...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-04-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13660-020-02388-8 |
| _version_ | 1818776303866740736 |
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| author | Hadi Roopaei |
| author_facet | Hadi Roopaei |
| author_sort | Hadi Roopaei |
| collection | DOAJ |
| description | Abstract In this research, we investigate two types of Copson matrices, the generalized Copson matrix and the Copson matrix of order n, and their associated sequence spaces generated by these matrices. We also investigate the topological properties, inclusions, and dual spaces of these new Banach spaces as well as compute the norm of Copson operators on the well-known matrix domains such as Hilbert and difference sequence spaces. Moreover, in a reverse manner, we investigate the norm of well-known operators on the Copson matrix domains generated with Copson matrices. Through this study we introduce several new inequalities, inclusions, and factorizations for well-known operators. |
| first_indexed | 2024-12-18T11:10:48Z |
| format | Article |
| id | doaj.art-c5f4d4fda9ff4776ab1030803b5b557c |
| institution | Directory Open Access Journal |
| issn | 1029-242X |
| language | English |
| last_indexed | 2024-12-18T11:10:48Z |
| publishDate | 2020-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-c5f4d4fda9ff4776ab1030803b5b557c2022-12-21T21:10:00ZengSpringerOpenJournal of Inequalities and Applications1029-242X2020-04-012020111810.1186/s13660-020-02388-8A study on Copson operator and its associated sequence spaceHadi Roopaei0Young Researchers and Elite Club, Marvdasht Branch, Islamic Azad UniversityAbstract In this research, we investigate two types of Copson matrices, the generalized Copson matrix and the Copson matrix of order n, and their associated sequence spaces generated by these matrices. We also investigate the topological properties, inclusions, and dual spaces of these new Banach spaces as well as compute the norm of Copson operators on the well-known matrix domains such as Hilbert and difference sequence spaces. Moreover, in a reverse manner, we investigate the norm of well-known operators on the Copson matrix domains generated with Copson matrices. Through this study we introduce several new inequalities, inclusions, and factorizations for well-known operators.http://link.springer.com/article/10.1186/s13660-020-02388-8NormCopson matrixHilbert matrixDifference sequence space |
| spellingShingle | Hadi Roopaei A study on Copson operator and its associated sequence space Journal of Inequalities and Applications Norm Copson matrix Hilbert matrix Difference sequence space |
| title | A study on Copson operator and its associated sequence space |
| title_full | A study on Copson operator and its associated sequence space |
| title_fullStr | A study on Copson operator and its associated sequence space |
| title_full_unstemmed | A study on Copson operator and its associated sequence space |
| title_short | A study on Copson operator and its associated sequence space |
| title_sort | study on copson operator and its associated sequence space |
| topic | Norm Copson matrix Hilbert matrix Difference sequence space |
| url | http://link.springer.com/article/10.1186/s13660-020-02388-8 |
| work_keys_str_mv | AT hadiroopaei astudyoncopsonoperatoranditsassociatedsequencespace AT hadiroopaei studyoncopsonoperatoranditsassociatedsequencespace |