On Schauder Bases in Hilbert Space
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866910687682363392 |
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| author | Zubelevich, Oleg |
| author_facet | Zubelevich, Oleg |
| contents | In this short note we present a far generalization of the following very well-known assertion: assume that we have two orthonormal sequences in a Hilbert space and these sequences are quadratically close to each other. Then if one of these sequences is a basis in the Hilbert space then so is the other one. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_00797 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On Schauder Bases in Hilbert Space Zubelevich, Oleg Functional Analysis Mathematical Physics 46C15, 46B25, 47A53, 47B38, 47B48 In this short note we present a far generalization of the following very well-known assertion: assume that we have two orthonormal sequences in a Hilbert space and these sequences are quadratically close to each other. Then if one of these sequences is a basis in the Hilbert space then so is the other one. |
| title | On Schauder Bases in Hilbert Space |
| topic | Functional Analysis Mathematical Physics 46C15, 46B25, 47A53, 47B38, 47B48 |
| url | https://arxiv.org/abs/2411.00797 |