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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2512.05587 |
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| _version_ | 1866917127806517248 |
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| author | Pradhan, Chandan Skripka, Anna |
| author_facet | Pradhan, Chandan Skripka, Anna |
| contents | We obtain a solution to the Bessis-Moussa-Villani conjecture for a trace-class perturbation of a semi-bounded operator and answer affirmatively the question on positivity of higher order spectral shift functions in the setting of Schatten--von Neumann perturbations of (possibly unbounded) self-adjoint operators. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_05587 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Positivity of spectral shift functions and infinite-dimensional BMV conjecture Pradhan, Chandan Skripka, Anna Functional Analysis Mathematical Physics Spectral Theory 47A55, 47A56, 44A10 We obtain a solution to the Bessis-Moussa-Villani conjecture for a trace-class perturbation of a semi-bounded operator and answer affirmatively the question on positivity of higher order spectral shift functions in the setting of Schatten--von Neumann perturbations of (possibly unbounded) self-adjoint operators. |
| title | Positivity of spectral shift functions and infinite-dimensional BMV conjecture |
| topic | Functional Analysis Mathematical Physics Spectral Theory 47A55, 47A56, 44A10 |
| url | https://arxiv.org/abs/2512.05587 |