A Bishop-Phelps-Bollobás theorem for bounded analytic functions
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2021
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| _version_ | 1866914831425077248 |
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| author | Bala, Neeru Dhara, Kousik Sarkar, Jaydeb Sensarma, Aryaman |
| author_facet | Bala, Neeru Dhara, Kousik Sarkar, Jaydeb Sensarma, Aryaman |
| contents | Let $H^\infty$ denote the Banach algebra of all bounded analytic functions on the open unit disc and denote by $\mathscr{B}(H^\infty)$ the Banach space of all bounded linear operators from $H^\infty$ to itself. We prove that the Bishop-Phelps-Bollobás property holds for $\mathscr{B}(H^\infty)$. As an application to our approach, we prove that the Bishop-Phelps-Bollobás property also holds for operator ideals of $\mathscr{B}(H^\infty)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2109_10125 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | A Bishop-Phelps-Bollobás theorem for bounded analytic functions Bala, Neeru Dhara, Kousik Sarkar, Jaydeb Sensarma, Aryaman Functional Analysis Complex Variables Operator Algebras 46B20, 30H05, 46J15, 47L20, 46B22, 46J10 Let $H^\infty$ denote the Banach algebra of all bounded analytic functions on the open unit disc and denote by $\mathscr{B}(H^\infty)$ the Banach space of all bounded linear operators from $H^\infty$ to itself. We prove that the Bishop-Phelps-Bollobás property holds for $\mathscr{B}(H^\infty)$. As an application to our approach, we prove that the Bishop-Phelps-Bollobás property also holds for operator ideals of $\mathscr{B}(H^\infty)$. |
| title | A Bishop-Phelps-Bollobás theorem for bounded analytic functions |
| topic | Functional Analysis Complex Variables Operator Algebras 46B20, 30H05, 46J15, 47L20, 46B22, 46J10 |
| url | https://arxiv.org/abs/2109.10125 |