Xia's Theorem for the Fock space $H^{2}(\mathbb{C}^n, dμ)$
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866911247992094720 |
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| author | Difo, Solange Bridgitte |
| author_facet | Difo, Solange Bridgitte |
| contents | In this paper, we provide a detailed proof for Xia's following theorem: the C^{*}-algebra generated by the class of weakly localized operators on $H^{2}(\mathbb{C}^n, dμ)$ coincides with $\mathcal{T}^{(1)}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_02141 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Xia's Theorem for the Fock space $H^{2}(\mathbb{C}^n, dμ)$ Difo, Solange Bridgitte Functional Analysis Complex Variables Operator Algebras 47C15, 30H20, 47B35 In this paper, we provide a detailed proof for Xia's following theorem: the C^{*}-algebra generated by the class of weakly localized operators on $H^{2}(\mathbb{C}^n, dμ)$ coincides with $\mathcal{T}^{(1)}$. |
| title | Xia's Theorem for the Fock space $H^{2}(\mathbb{C}^n, dμ)$ |
| topic | Functional Analysis Complex Variables Operator Algebras 47C15, 30H20, 47B35 |
| url | https://arxiv.org/abs/2511.02141 |