Completeness of a Normed Space via Strong p-Cesàro Summability
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866929238831005696 |
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| author | León-Saavedra, Fernando Moreno-Pulido, Soledad Sala-Pérez, Antonio |
| author_facet | León-Saavedra, Fernando Moreno-Pulido, Soledad Sala-Pérez, Antonio |
| contents | In this paper we will characterize the completeness and barrelledness of a normed space through the strong p-Cesàro summability of series. A new characterization of weakly unconditionally Cauchy series and unconditionally convergent series through the strong p-Cesàro summability is obtained. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_06324 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Completeness of a Normed Space via Strong p-Cesàro Summability León-Saavedra, Fernando Moreno-Pulido, Soledad Sala-Pérez, Antonio Functional Analysis In this paper we will characterize the completeness and barrelledness of a normed space through the strong p-Cesàro summability of series. A new characterization of weakly unconditionally Cauchy series and unconditionally convergent series through the strong p-Cesàro summability is obtained. |
| title | Completeness of a Normed Space via Strong p-Cesàro Summability |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2402.06324 |