Compactness in Lorentz sequence spaces
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866914833886085120 |
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| author | Sawicki, Paweł |
| author_facet | Sawicki, Paweł |
| contents | In this paper we are going to discuss compactness in Lorentz sequence spaces. Firstly, it will be shown how to define such a space, check whether a sequence belongs to it and calculate its norm. Equipped with this knowledge, we will proceed to propose usable compactness criteria for Lorentz sequence spaces, employing the concept of seminorms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_09565 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Compactness in Lorentz sequence spaces Sawicki, Paweł Functional Analysis 46B50 (Primary) 46E30 (Secondary) In this paper we are going to discuss compactness in Lorentz sequence spaces. Firstly, it will be shown how to define such a space, check whether a sequence belongs to it and calculate its norm. Equipped with this knowledge, we will proceed to propose usable compactness criteria for Lorentz sequence spaces, employing the concept of seminorms. |
| title | Compactness in Lorentz sequence spaces |
| topic | Functional Analysis 46B50 (Primary) 46E30 (Secondary) |
| url | https://arxiv.org/abs/2406.09565 |