A Quest for Convergence: Exploring Series in Non-Linear Environments
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866914819175612416 |
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| author | Ribeiro, Geivison |
| author_facet | Ribeiro, Geivison |
| contents | This note presents an extension of a result within the concept of [S]-lineability, originally developed in 2019 by L. Bernal-González, J.A. Conejero, M. Murillo-Arcila, and J.B. Seoane-Sepúlveda . Additionally, we provide a characterization in terms of lineability in the context of complements of unions of closed subspaces in F-spaces, and finally, we present a negative result in both normed spaces and p-Banach spaces. These findings contribute to the understanding of linearity in exotic settings in topological vector spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_00269 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Quest for Convergence: Exploring Series in Non-Linear Environments Ribeiro, Geivison Functional Analysis This note presents an extension of a result within the concept of [S]-lineability, originally developed in 2019 by L. Bernal-González, J.A. Conejero, M. Murillo-Arcila, and J.B. Seoane-Sepúlveda . Additionally, we provide a characterization in terms of lineability in the context of complements of unions of closed subspaces in F-spaces, and finally, we present a negative result in both normed spaces and p-Banach spaces. These findings contribute to the understanding of linearity in exotic settings in topological vector spaces. |
| title | A Quest for Convergence: Exploring Series in Non-Linear Environments |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2406.00269 |