A note on Basis Problem in normed spaces
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2018
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866916467481509888 |
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| author | Coelho, Vinicius Ribeiro, Joilson Salgado, Luciana |
| author_facet | Coelho, Vinicius Ribeiro, Joilson Salgado, Luciana |
| contents | In this work, we prove the criterion of Banach-Grunblum and the principle of selection of Bessaga-Pełczyński for normed spaces. As applications of these results, we show the Principle of Selection of Bessaga-Pełczyński for normed spaces and the Spectral Theorem for compact self-adjoint operators on inner product spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1806_07943 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | A note on Basis Problem in normed spaces Coelho, Vinicius Ribeiro, Joilson Salgado, Luciana Functional Analysis 46B15 (Primary), 46B20, 46B28 (Secondary) In this work, we prove the criterion of Banach-Grunblum and the principle of selection of Bessaga-Pełczyński for normed spaces. As applications of these results, we show the Principle of Selection of Bessaga-Pełczyński for normed spaces and the Spectral Theorem for compact self-adjoint operators on inner product spaces. |
| title | A note on Basis Problem in normed spaces |
| topic | Functional Analysis 46B15 (Primary), 46B20, 46B28 (Secondary) |
| url | https://arxiv.org/abs/1806.07943 |