Relative residual bounds for eigenvalues in gaps of the essential spectrum
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2023
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| _version_ | 1866913438635130880 |
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| author | Seelmann, Albrecht |
| author_facet | Seelmann, Albrecht |
| contents | The relative distance between eigenvalues of the compression of a not necessarily semibounded self-adjoint operator to a closed subspace and some of the eigenvalues of the original operator in a gap of the essential spectrum is considered. It is shown that this distance depends on the maximal angles between pairs of associated subspaces. This generalises results by Drmač in [Linear Algebra Appl. 244 (1996), 155--163] from matrices to not necessarily (semi)bounded operators. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_07032 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Relative residual bounds for eigenvalues in gaps of the essential spectrum Seelmann, Albrecht Spectral Theory Functional Analysis 15A18 (Primary), 47A20, 47A55, 47B15, 49Rxx (Secondary) The relative distance between eigenvalues of the compression of a not necessarily semibounded self-adjoint operator to a closed subspace and some of the eigenvalues of the original operator in a gap of the essential spectrum is considered. It is shown that this distance depends on the maximal angles between pairs of associated subspaces. This generalises results by Drmač in [Linear Algebra Appl. 244 (1996), 155--163] from matrices to not necessarily (semi)bounded operators. |
| title | Relative residual bounds for eigenvalues in gaps of the essential spectrum |
| topic | Spectral Theory Functional Analysis 15A18 (Primary), 47A20, 47A55, 47B15, 49Rxx (Secondary) |
| url | https://arxiv.org/abs/2309.07032 |