On Generalized Strong and Norm Resolvent Convergence
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866915732654129152 |
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| author | Teschl, Gerald Wang, Yifei Xie, Bing Zhou, Zhe |
| author_facet | Teschl, Gerald Wang, Yifei Xie, Bing Zhou, Zhe |
| contents | We present a streamlined approach for generalized strong and norm convergence of self-adjoint operators in different Hilbert spaces. In particular, we establish convergence of associated (semi-)groups, (essential) spectra and spectral projections. In addition, we give some applications to Sturm-Liouville operators. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_10476 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On Generalized Strong and Norm Resolvent Convergence Teschl, Gerald Wang, Yifei Xie, Bing Zhou, Zhe Spectral Theory Mathematical Physics Primary 47A55, 47A10, Secondary 34L40, 34L05 We present a streamlined approach for generalized strong and norm convergence of self-adjoint operators in different Hilbert spaces. In particular, we establish convergence of associated (semi-)groups, (essential) spectra and spectral projections. In addition, we give some applications to Sturm-Liouville operators. |
| title | On Generalized Strong and Norm Resolvent Convergence |
| topic | Spectral Theory Mathematical Physics Primary 47A55, 47A10, Secondary 34L40, 34L05 |
| url | https://arxiv.org/abs/2601.10476 |