On the density of Toeplitz operators in the Toeplitz algebra over the Bergman space of the unit ball
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866916566703013888 |
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| author | Dewage, Vishwa Mitkovski, Mishko |
| author_facet | Dewage, Vishwa Mitkovski, Mishko |
| contents | We use quantum harmonic analysis and representation theory to provide a new proof of Xia's theorem: "Toeplitz operators are norm dense in the Toeplitz algebra over the Bergman space of the unit ball." |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_08385 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the density of Toeplitz operators in the Toeplitz algebra over the Bergman space of the unit ball Dewage, Vishwa Mitkovski, Mishko Functional Analysis Operator Algebras 22D25, 30H20, 47B35, 47L80 We use quantum harmonic analysis and representation theory to provide a new proof of Xia's theorem: "Toeplitz operators are norm dense in the Toeplitz algebra over the Bergman space of the unit ball." |
| title | On the density of Toeplitz operators in the Toeplitz algebra over the Bergman space of the unit ball |
| topic | Functional Analysis Operator Algebras 22D25, 30H20, 47B35, 47L80 |
| url | https://arxiv.org/abs/2501.08385 |