Norm attaining composition operators on Segal-Bargmann spaces
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866916136112619520 |
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| author | Bala, Neeru Bhuia, Sudip Ranjan |
| author_facet | Bala, Neeru Bhuia, Sudip Ranjan |
| contents | In this note, we study the composition operators on Segal-Bargmann spaces, which attains its norm and we show that every composition operators on the classical Fock space over $\mathbb{ C}^n$ is norm attaining. Also, we establish a necessary and sufficient condition for a sum of two kernel functions to be an extremal function for the norm of composition operators. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_15482 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Norm attaining composition operators on Segal-Bargmann spaces Bala, Neeru Bhuia, Sudip Ranjan Functional Analysis 47B38, 47B33 In this note, we study the composition operators on Segal-Bargmann spaces, which attains its norm and we show that every composition operators on the classical Fock space over $\mathbb{ C}^n$ is norm attaining. Also, we establish a necessary and sufficient condition for a sum of two kernel functions to be an extremal function for the norm of composition operators. |
| title | Norm attaining composition operators on Segal-Bargmann spaces |
| topic | Functional Analysis 47B38, 47B33 |
| url | https://arxiv.org/abs/2402.15482 |