Functions of pairs of commuting self-adjoint operators under relatively bounded perturbations
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866910063051931648 |
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| author | Aleksandrov, A. B. Peller, V. V. |
| author_facet | Aleksandrov, A. B. Peller, V. V. |
| contents | We study the behaviour of functions of pairs of commuting self-adjoint operators under perturbations by relatively bounded operators. We obtain analogs of our earlier results for functions of a single self-adjoint operator under relatively bounded perturbations. The main tool is double operator integrals |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_21351 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Functions of pairs of commuting self-adjoint operators under relatively bounded perturbations Aleksandrov, A. B. Peller, V. V. Functional Analysis Classical Analysis and ODEs Complex Variables Spectral Theory 47A55, 47B10, 46E35 We study the behaviour of functions of pairs of commuting self-adjoint operators under perturbations by relatively bounded operators. We obtain analogs of our earlier results for functions of a single self-adjoint operator under relatively bounded perturbations. The main tool is double operator integrals |
| title | Functions of pairs of commuting self-adjoint operators under relatively bounded perturbations |
| topic | Functional Analysis Classical Analysis and ODEs Complex Variables Spectral Theory 47A55, 47B10, 46E35 |
| url | https://arxiv.org/abs/2603.21351 |