Norms and Non-Equivalence in Infinite-Dimensional Banach Spaces
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912547457728512 |
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| author | Isneri, Renan J. S. Baca, Josias V. Fernandes, Lucas M. |
| author_facet | Isneri, Renan J. S. Baca, Josias V. Fernandes, Lucas M. |
| contents | This work explores the interaction between different norms in infinite-dimensional vector spaces, focusing on their impact on Banach space structures and topological properties. We examine norms induced by bijective linear maps, the existence of non-equivalent norms in Banach spaces, and the role of Hamel bases in normed spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_15686 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Norms and Non-Equivalence in Infinite-Dimensional Banach Spaces Isneri, Renan J. S. Baca, Josias V. Fernandes, Lucas M. Functional Analysis This work explores the interaction between different norms in infinite-dimensional vector spaces, focusing on their impact on Banach space structures and topological properties. We examine norms induced by bijective linear maps, the existence of non-equivalent norms in Banach spaces, and the role of Hamel bases in normed spaces. |
| title | Norms and Non-Equivalence in Infinite-Dimensional Banach Spaces |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2508.15686 |