Factorization of Hankel operators, range inclusion of Toeplitz and Hankel operators on the vector-valued Hardy space
Using Douglas theorem on factorization and range inclusion of bounded linear operators, we give the factorization of Hankel operators, range inclusion of Hankel and Toeplitz operators defined on vector-valued Hardy spaces.
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| Format: | Article |
| Language: | English |
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Académie des sciences
2024-11-01
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| Series: | Comptes Rendus. Mathématique |
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| Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.680/ |
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| author | Bhuia, Sudip Ranjan |
| author_facet | Bhuia, Sudip Ranjan |
| author_sort | Bhuia, Sudip Ranjan |
| collection | DOAJ |
| description | Using Douglas theorem on factorization and range inclusion of bounded linear operators, we give the factorization of Hankel operators, range inclusion of Hankel and Toeplitz operators defined on vector-valued Hardy spaces. |
| format | Article |
| id | doaj-art-f9fe38f6df94436798cee5fbfae5cc05 |
| institution | Kabale University |
| issn | 1778-3569 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Mathématique |
| spelling | doaj-art-f9fe38f6df94436798cee5fbfae5cc052025-02-07T11:26:37ZengAcadémie des sciencesComptes Rendus. Mathématique1778-35692024-11-01362G121773177810.5802/crmath.68010.5802/crmath.680Factorization of Hankel operators, range inclusion of Toeplitz and Hankel operators on the vector-valued Hardy spaceBhuia, Sudip Ranjan0Indian Statistical Institute, Statistics and Mathematics Unit, 8th Mile, Mysore Road, Bangalore, 560 059, IndiaUsing Douglas theorem on factorization and range inclusion of bounded linear operators, we give the factorization of Hankel operators, range inclusion of Hankel and Toeplitz operators defined on vector-valued Hardy spaces.https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.680/Toeplitz operatorsHankel operatorsHardy spaceinner functionsDouglas Lemmafactorizationmajorization |
| spellingShingle | Bhuia, Sudip Ranjan Factorization of Hankel operators, range inclusion of Toeplitz and Hankel operators on the vector-valued Hardy space Comptes Rendus. Mathématique Toeplitz operators Hankel operators Hardy space inner functions Douglas Lemma factorization majorization |
| title | Factorization of Hankel operators, range inclusion of Toeplitz and Hankel operators on the vector-valued Hardy space |
| title_full | Factorization of Hankel operators, range inclusion of Toeplitz and Hankel operators on the vector-valued Hardy space |
| title_fullStr | Factorization of Hankel operators, range inclusion of Toeplitz and Hankel operators on the vector-valued Hardy space |
| title_full_unstemmed | Factorization of Hankel operators, range inclusion of Toeplitz and Hankel operators on the vector-valued Hardy space |
| title_short | Factorization of Hankel operators, range inclusion of Toeplitz and Hankel operators on the vector-valued Hardy space |
| title_sort | factorization of hankel operators range inclusion of toeplitz and hankel operators on the vector valued hardy space |
| topic | Toeplitz operators Hankel operators Hardy space inner functions Douglas Lemma factorization majorization |
| url | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.680/ |
| work_keys_str_mv | AT bhuiasudipranjan factorizationofhankeloperatorsrangeinclusionoftoeplitzandhankeloperatorsonthevectorvaluedhardyspace |