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| Format: | Preprint |
| Publié: |
2025
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| Sujets: | |
| Accès en ligne: | https://arxiv.org/abs/2508.09701 |
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| _version_ | 1866915444181434368 |
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| author | Nailwal, Rajkamal |
| author_facet | Nailwal, Rajkamal |
| contents | In this paper, we investigate when a rank-one perturbation of a $2$-isometry remains a $2$-isometry. As an application, we identify several classes of $2$-isometries on function spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_09701 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Rank one perturbations of 2-isometries Nailwal, Rajkamal Functional Analysis 47B02, 47B38 In this paper, we investigate when a rank-one perturbation of a $2$-isometry remains a $2$-isometry. As an application, we identify several classes of $2$-isometries on function spaces. |
| title | Rank one perturbations of 2-isometries |
| topic | Functional Analysis 47B02, 47B38 |
| url | https://arxiv.org/abs/2508.09701 |