The Laplacian of an operator and the radial Toeplitz algebra
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866913524798717952 |
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| author | Dewage, Vishwa Mitkovski, Mishko |
| author_facet | Dewage, Vishwa Mitkovski, Mishko |
| contents | Using tools from quantum harmonic analysis, we show that the domain of the Laplacian of an operator is dense in the Toeplitz algebra over the Fock space $\mathcal{F}^2(\mathbb{C}^n)$. As an application, we provide a simplified treatment of the Gelfand theory of the radial Toeplitz algebra. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_00080 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The Laplacian of an operator and the radial Toeplitz algebra Dewage, Vishwa Mitkovski, Mishko Functional Analysis Operator Algebras 47B35 (primary) 22D25, 30H20, 47L80 (Secondary) Using tools from quantum harmonic analysis, we show that the domain of the Laplacian of an operator is dense in the Toeplitz algebra over the Fock space $\mathcal{F}^2(\mathbb{C}^n)$. As an application, we provide a simplified treatment of the Gelfand theory of the radial Toeplitz algebra. |
| title | The Laplacian of an operator and the radial Toeplitz algebra |
| topic | Functional Analysis Operator Algebras 47B35 (primary) 22D25, 30H20, 47L80 (Secondary) |
| url | https://arxiv.org/abs/2410.00080 |