A quantum harmonic analysis approach to the Berger-Coburn theorem
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866916906799202304 |
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| author | Dewage, Vishwa Mitkovski, Mishko |
| author_facet | Dewage, Vishwa Mitkovski, Mishko |
| contents | We use quantum harmonic analysis for densely defined operators to provide a simplified proof of the Berger-Coburn theorem for boundedness of Toeplitz operators. In addition, we revisit compactness and Schatten-class membership of densely defined Toeplitz operators. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_23255 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A quantum harmonic analysis approach to the Berger-Coburn theorem Dewage, Vishwa Mitkovski, Mishko Functional Analysis We use quantum harmonic analysis for densely defined operators to provide a simplified proof of the Berger-Coburn theorem for boundedness of Toeplitz operators. In addition, we revisit compactness and Schatten-class membership of densely defined Toeplitz operators. |
| title | A quantum harmonic analysis approach to the Berger-Coburn theorem |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2410.23255 |