Schatten classes on noncommutative tori: Kernel conditions
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910538798202880 |
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| author | Ruzhansky, Michael Zeng, Kai |
| author_facet | Ruzhansky, Michael Zeng, Kai |
| contents | In this note, we give criteria on noncommutative integral kernels ensuring that integral operators on quantum torus belong to Schatten classes. With the engagement of a noncommutative Schwartz' kernel theorem on the quantum torus, a specific test for Schatten class properties of bounded operators on the quantum torus is established. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_09715 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Schatten classes on noncommutative tori: Kernel conditions Ruzhansky, Michael Zeng, Kai Operator Algebras Functional Analysis In this note, we give criteria on noncommutative integral kernels ensuring that integral operators on quantum torus belong to Schatten classes. With the engagement of a noncommutative Schwartz' kernel theorem on the quantum torus, a specific test for Schatten class properties of bounded operators on the quantum torus is established. |
| title | Schatten classes on noncommutative tori: Kernel conditions |
| topic | Operator Algebras Functional Analysis |
| url | https://arxiv.org/abs/2407.09715 |