Absolutely minimum attaining Toeplitz and absolutely norm attaining Hankel operators
In this article, we completely characterize absolutely norm attaining Hankel operators and absolutely minimum attaining Toeplitz operators. We also improve [19, Theorem 2.1], by characterizing the absolutely norm attaining Toeplitz operator $T_\varphi $ in terms of the symbol $\varphi \in L^\infty $...
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| Format: | Article |
| Language: | English |
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Académie des sciences
2023-09-01
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| Series: | Comptes Rendus. Mathématique |
| Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.457/ |
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| author | Ramesh, Golla Sequeira, Shanola S. |
| author_facet | Ramesh, Golla Sequeira, Shanola S. |
| author_sort | Ramesh, Golla |
| collection | DOAJ |
| description | In this article, we completely characterize absolutely norm attaining Hankel operators and absolutely minimum attaining Toeplitz operators. We also improve [19, Theorem 2.1], by characterizing the absolutely norm attaining Toeplitz operator $T_\varphi $ in terms of the symbol $\varphi \in L^\infty $. |
| format | Article |
| id | doaj-art-d986bf5d0bce474ea8abca01a7f0bc4d |
| institution | Kabale University |
| issn | 1778-3569 |
| language | English |
| publishDate | 2023-09-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Mathématique |
| spelling | doaj-art-d986bf5d0bce474ea8abca01a7f0bc4d2025-02-07T11:09:17ZengAcadémie des sciencesComptes Rendus. Mathématique1778-35692023-09-01361G697397710.5802/crmath.45710.5802/crmath.457Absolutely minimum attaining Toeplitz and absolutely norm attaining Hankel operatorsRamesh, Golla0Sequeira, Shanola S.1Department of Mathematics, IIT Hyderabad, Kandi, Sangareddy, Telangana-502284, IndiaDepartment of Mathematics, IIT Hyderabad, Kandi, Sangareddy, Telangana-502284, IndiaIn this article, we completely characterize absolutely norm attaining Hankel operators and absolutely minimum attaining Toeplitz operators. We also improve [19, Theorem 2.1], by characterizing the absolutely norm attaining Toeplitz operator $T_\varphi $ in terms of the symbol $\varphi \in L^\infty $.https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.457/ |
| spellingShingle | Ramesh, Golla Sequeira, Shanola S. Absolutely minimum attaining Toeplitz and absolutely norm attaining Hankel operators Comptes Rendus. Mathématique |
| title | Absolutely minimum attaining Toeplitz and absolutely norm attaining Hankel operators |
| title_full | Absolutely minimum attaining Toeplitz and absolutely norm attaining Hankel operators |
| title_fullStr | Absolutely minimum attaining Toeplitz and absolutely norm attaining Hankel operators |
| title_full_unstemmed | Absolutely minimum attaining Toeplitz and absolutely norm attaining Hankel operators |
| title_short | Absolutely minimum attaining Toeplitz and absolutely norm attaining Hankel operators |
| title_sort | absolutely minimum attaining toeplitz and absolutely norm attaining hankel operators |
| url | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.457/ |
| work_keys_str_mv | AT rameshgolla absolutelyminimumattainingtoeplitzandabsolutelynormattaininghankeloperators AT sequeirashanolas absolutelyminimumattainingtoeplitzandabsolutelynormattaininghankeloperators |